Search a number
-
+
21804664360452 = 223193123471314437
BaseRepresentation
bin1001111010100110010110…
…10001100000111000000100
32212012111122112211201210020
410331103023101200320010
510324221423034013302
6114212531410255140
74410222624003321
oct475231321407004
985174575751706
1021804664360452
116a47340648776
122541a81b874b0
13c2222b98bb2c
145554cc2bbb48
1527c2c9146ebc
hex13d4cb460e04

21804664360452 has 96 divisors (see below), whose sum is σ = 55306503598080. Its totient is φ = 6660720408960.

The previous prime is 21804664360447. The next prime is 21804664360481. The reversal of 21804664360452 is 25406346640812.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21804664360395 and 21804664360404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15931378 + ... + 17245814.

It is an arithmetic number, because the mean of its divisors is an integer number (576109412480).

Almost surely, 221804664360452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21804664360452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27653251799040).

21804664360452 is an abundant number, since it is smaller than the sum of its proper divisors (33501839237628).

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

21804664360452 is a wasteful number, since it uses less digits than its factorization.

21804664360452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316841 (or 1316839 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 21804664360452 in words is "twenty-one trillion, eight hundred four billion, six hundred sixty-four million, three hundred sixty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2347 2356 3534 4694 7041 7068 9388 14082 28164 44593 72757 89186 133779 145514 178372 218271 267558 291028 436542 535116 873084 1314437 1382383 2628874 2764766 3943311 4147149 5257748 5529532 7886622 8294298 15773244 16588596 24974303 40747547 49948606 74922909 81495094 99897212 122242641 149845818 162990188 244485282 299691636 488970564 774203393 1548406786 2322610179 3084983639 3096813572 4645220358 6169967278 9254950917 9290440716 12339934556 18509901834 37019803668 58614689141 95634492809 117229378282 175844067423 191268985618 234458756564 286903478427 351688134846 382537971236 573806956854 703376269692 1147613913708 1817055363371 3634110726742 5451166090113 7268221453484 10902332180226 21804664360452