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99504256956 = 2231318128112541
BaseRepresentation
bin101110010101011101…
…0100111011110111100
3100111211121210222122020
41130222322213132330
53112241042210311
6113413413320140
710121544141336
oct1345272473674
9314747728566
1099504256956
1139221617005
121734b936050
1394c9bb8170
144b5d296456
1528c5962c06
hex172aea77bc

99504256956 has 96 divisors (see below), whose sum is σ = 252332598336. Its totient is φ = 30336768000.

The previous prime is 99504256933. The next prime is 99504256981. The reversal of 99504256956 is 65965240599.

It is a self number, because there is not a number n which added to its sum of digits gives 99504256956.

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 31 ways as a sum of consecutive naturals, for example, 7928046 + ... + 7940586.

It is an arithmetic number, because the mean of its divisors is an integer number (2628464566).

Almost surely, 299504256956 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 99504256956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126166299168).

99504256956 is an abundant number, since it is smaller than the sum of its proper divisors (152828341380).

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

99504256956 is a wasteful number, since it uses less digits than its factorization.

99504256956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 60.

The spelling of 99504256956 in words is "ninety-nine billion, five hundred four million, two hundred fifty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 281 362 543 562 724 843 1086 1124 1686 2172 2353 3372 3653 4706 7059 7306 9412 10959 12541 14118 14612 21918 25082 28236 37623 43836 50164 50861 75246 101722 150492 152583 163033 203444 305166 326066 489099 610332 652132 661193 978198 1322386 1956396 1983579 2269921 2644772 3524021 3967158 4539842 6809763 7048042 7934316 9079684 10572063 13619526 14096084 21144126 27239052 29508973 42288252 45812273 59017946 88526919 91624546 118035892 137436819 177053838 183249092 274873638 354107676 549747276 637847801 1275695602 1913543403 2551391204 3827086806 7654173612 8292021413 16584042826 24876064239 33168085652 49752128478 99504256956