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99297172104 = 233133126213917
BaseRepresentation
bin101110001111010010…
…0101001101010001000
3100111022012010222121220
41130132210221222020
53111330034001404
6113341055002040
710113451015404
oct1343644515210
9314265128556
1099297172104
11391257350a9
12172b2509320
139496020150
144b3d98c104
1528b26a94d9
hex171e929a88

99297172104 has 128 divisors (see below), whose sum is σ = 276138132480. Its totient is φ = 29548569600.

The previous prime is 99297172099. The next prime is 99297172133. The reversal of 99297172104 is 40127179299.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25348354 + ... + 25352270.

It is an arithmetic number, because the mean of its divisors is an integer number (2157329160).

Almost surely, 299297172104 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 99297172104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138069066240).

99297172104 is an abundant number, since it is smaller than the sum of its proper divisors (176840960376).

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

99297172104 is a wasteful number, since it uses less digits than its factorization.

99297172104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 99297172104 in words is "ninety-nine billion, two hundred ninety-seven million, one hundred seventy-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 2621 3224 3917 4836 5242 7834 7863 9672 10484 11751 15668 15726 20968 23502 31336 31452 34073 47004 50921 62904 68146 81251 94008 101842 102219 121427 136292 152763 162502 203684 204438 242854 243753 272584 305526 325004 364281 407368 408876 485708 487506 611052 650008 728562 817752 971416 975012 1056263 1222104 1457124 1578551 1950024 2112526 2914248 3157102 3168789 4225052 4735653 6314204 6337578 8450104 9471306 10266457 12628408 12675156 18942612 20532914 25350312 30799371 37885224 41065828 61598742 82131656 123197484 133463941 246394968 266927882 318260167 400391823 533855764 636520334 800783646 954780501 1067711528 1273040668 1601567292 1909561002 2546081336 3203134584 3819122004 4137382171 7638244008 8274764342 12412146513 16549528684 24824293026 33099057368 49648586052 99297172104