Search a number
-
+
49372715431008 = 25324112421336631
BaseRepresentation
bin10110011100111011110110…
…01010100011010001100000
320110210222121102120111100100
423032131323022203101200
522432410310122243013
6253001302400022400
713254026625516534
oct1316357312432140
9213728542514310
1049372715431008
111480593a798022
12565491a601a00
132171a9a15a9b8
14c2991b807bc4
155a946e79a473
hex2ce77b2a3460

49372715431008 has 144 divisors (see below), whose sum is σ = 143840145732192. Its totient is φ = 16054827264000.

The previous prime is 49372715430991. The next prime is 49372715431037. The reversal of 49372715431008 is 80013451727394.

49372715431008 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 271 + 54 + 310 + 0 + 8 = 666.

49372715431008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146498853 + ... + 146835483.

It is an arithmetic number, because the mean of its divisors is an integer number (998889900918).

Almost surely, 249372715431008 is an apocalyptic number.

49372715431008 is a gapful number since it is divisible by the number (48) 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 49372715431008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71920072866096).

49372715431008 is an abundant number, since it is smaller than the sum of its proper divisors (94467430301184).

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

49372715431008 is a wasteful number, since it uses less digits than its factorization.

49372715431008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349109 (or 349098 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 49372715431008 in words is "forty-nine trillion, three hundred seventy-two billion, seven hundred fifteen million, four hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 12421 24842 37263 49684 74526 99368 111789 149052 198736 223578 298104 336631 397472 447156 509261 596208 673262 894312 1009893 1018522 1192416 1346524 1527783 1788624 2019786 2037044 2693048 3029679 3055566 3577248 4039572 4074088 4583349 5386096 6059358 6111132 8079144 8148176 9166698 10772192 12118716 12222264 13801871 16158288 16296352 18333396 24237432 24444528 27603742 32316576 36666792 41405613 48474864 48889056 55207484 73333584 82811226 96949728 110414968 124216839 146667168 165622452 220829936 248433678 331244904 441659872 496867356 662489808 993734712 1324979616 1987469424 3974938848 4181293651 8362587302 12543880953 16725174604 25087761906 33450349208 37631642859 50175523812 66900698416 75263285718 100351047624 133801396832 150526571436 171433039691 200702095248 301053142872 342866079382 401404190496 514299119073 602106285744 685732158764 1028598238146 1204212571488 1371464317528 1542897357219 2057196476292 2742928635056 3085794714438 4114392952584 5485857270112 6171589428876 8228785905168 12343178857752 16457571810336 24686357715504 49372715431008