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244347055151056 = 24111331374612579
BaseRepresentation
bin110111100011101101111011…
…011011001001011111010000
31012001011100110101202010212121
4313203231323123021133100
5224011340232104313211
62223403253144104024
7102316330545450334
oct6743557333113720
91161140411663777
10244347055151056
1170947005577780
12234a411a465014
13a645aa00a9000
14444a663b437c4
151d3b0634bc271
hexde3b7b6c97d0

244347055151056 has 160 divisors (see below), whose sum is σ = 563563548374400. Its totient is φ = 101774873041920.

The previous prime is 244347055151053. The next prime is 244347055151083. The reversal of 244347055151056 is 650151550743442.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 244347055150994 and 244347055151012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244347055151051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50667775 + ... + 55280353.

It is an arithmetic number, because the mean of its divisors is an integer number (3522272177340).

Almost surely, 2244347055151056 is an apocalyptic number.

244347055151056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244347055151056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281781774187200).

244347055151056 is an abundant number, since it is smaller than the sum of its proper divisors (319216493223344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244347055151056 is a wasteful number, since it uses less digits than its factorization.

244347055151056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612774 (or 4612742 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 52.

The spelling of 244347055151056 in words is "two hundred forty-four trillion, three hundred forty-seven billion, fifty-five million, one hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 137 143 169 176 208 274 286 338 548 572 676 1096 1144 1352 1507 1781 1859 2192 2197 2288 2704 3014 3562 3718 4394 6028 7124 7436 8788 12056 14248 14872 17576 19591 23153 24112 24167 28496 29744 35152 39182 46306 48334 78364 92612 96668 156728 185224 193336 254683 300989 313456 370448 386672 509366 601978 1018732 1203956 2037464 2407912 3310879 4074928 4612579 4815824 6621758 9225158 13243516 18450316 26487032 36900632 50738369 52974064 59963527 73801264 101476738 119927054 202953476 239854108 405906952 479708216 631923323 659598797 779525851 811813904 959416432 1263846646 1319197594 1559051702 2527693292 2638395188 3118103404 5055386584 5276790376 6236206808 6951156553 8215003199 8574784361 10110773168 10133836063 10553580752 12472413616 13902313106 16430006398 17149568722 20267672126 27804626212 32860012796 34299137444 40535344252 55609252424 65720025592 68598274888 81070688504 90365035189 106795041587 111218504848 111472196693 131440051184 137196549776 162141377008 180730070378 213590083174 222944393386 361460140756 427180166348 445888786772 722920281512 854360332696 891777573544 1174745457457 1388335540631 1445840563024 1708720665392 1783555147088 2349490914914 2776671081262 4698981829828 5553342162524 9397963659656 11106684325048 15271690946941 18795927319312 22213368650096 30543381893882 61086763787764 122173527575528 244347055151056