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9881165056 = 287231491609
BaseRepresentation
bin10010011001111011…
…01001110100000000
3221111122011012020011
421030331221310000
5130214034240211
64312255354304
7466602342250
oct111475516400
927448135204
109881165056
114210729614
121ab9222994
13c161b0939
1469a46b960
153cc737921
hex24cf69d00

9881165056 has 144 divisors (see below), whose sum is σ = 23694048000. Its totient is φ = 4020977664.

The previous prime is 9881165003. The next prime is 9881165083. The reversal of 9881165056 is 6505611889.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6140380 + ... + 6141988.

It is an arithmetic number, because the mean of its divisors is an integer number (164542000).

Almost surely, 29881165056 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 9881165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847024000).

9881165056 is an abundant number, since it is smaller than the sum of its proper divisors (13812882944).

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

9881165056 is a wasteful number, since it uses less digits than its factorization.

9881165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The square root of 9881165056 is about 99404.0494949778. The cubic root of 9881165056 is about 2145.8665893514.

The spelling of 9881165056 in words is "nine billion, eight hundred eighty-one million, one hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 149 161 184 224 256 298 322 368 448 596 644 736 896 1043 1192 1288 1472 1609 1792 2086 2384 2576 2944 3218 3427 4172 4768 5152 5888 6436 6854 8344 9536 10304 11263 12872 13708 16688 19072 20608 22526 23989 25744 27416 33376 37007 38144 41216 45052 47978 51488 54832 66752 74014 90104 95956 102976 109664 133504 148028 180208 191912 205952 219328 239741 259049 267008 296056 360416 383824 411904 438656 479482 518098 592112 720832 767648 877312 958964 1036196 1184224 1441664 1535296 1678187 1917928 2072392 2368448 2883328 3070592 3356374 3835856 4144784 4736896 5514043 6141184 6712748 7671712 8289568 9473792 11028086 13425496 15343424 16579136 22056172 26850992 30686848 33158272 38598301 44112344 53701984 61373696 66316544 77196602 88224688 107403968 154393204 176449376 214807936 308786408 352898752 429615872 617572816 705797504 1235145632 1411595008 2470291264 4940582528 9881165056