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9923835272 = 23131779227313
BaseRepresentation
bin10010011111000000…
…11011010110001000
3221121121110001202112
421033200123112020
5130311000212042
64320422121452
7500631131231
oct111740332610
927547401675
109923835272
11423282335a
121b0b580288
13c21ca09a0
146a1db8088
153d1365982
hex24f81b588

9923835272 has 128 divisors (see below), whose sum is σ = 21649420800. Its totient is φ = 4223950848.

The previous prime is 9923835269. The next prime is 9923835347. The reversal of 9923835272 is 2725383299.

It is a self number, because there is not a number n which added to its sum of digits gives 9923835272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31705388 + ... + 31705700.

It is an arithmetic number, because the mean of its divisors is an integer number (169136100).

Almost surely, 29923835272 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 9923835272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824710400).

9923835272 is an abundant number, since it is smaller than the sum of its proper divisors (11725585528).

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

9923835272 is a wasteful number, since it uses less digits than its factorization.

9923835272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The square root of 9923835272 is about 99618.4484520814. The cubic root of 9923835272 is about 2148.9510132141.

The spelling of 9923835272 in words is "nine billion, nine hundred twenty-three million, eight hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 79 104 136 158 221 227 313 316 442 454 626 632 884 908 1027 1252 1343 1768 1816 2054 2504 2686 2951 3859 4069 4108 5321 5372 5902 7718 8138 8216 10642 10744 11804 15436 16276 17459 17933 21284 23608 24727 30872 32552 34918 35866 42568 49454 50167 69173 69836 71051 71732 98908 100334 138346 139672 142102 143464 197816 200668 233129 276692 284204 304861 321451 401336 420359 466258 553384 568408 609722 642902 840718 923663 932516 1207867 1219444 1285804 1681436 1847326 1865032 2415734 2438888 2571608 3362872 3694652 3963193 4831468 5464667 5613029 7389304 7926386 9662936 10929334 11226058 15702271 15852772 21858668 22452116 31404542 31705544 43717336 44904232 62809084 72969377 95421493 125618168 145938754 190842986 291877508 381685972 583755016 763371944 1240479409 2480958818 4961917636 9923835272