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9881233056 = 253264353359
BaseRepresentation
bin10010011001111011…
…11010011010100000
3221111122021122111200
421030331322122200
5130214043424211
64312301041200
7466603044432
oct111475723240
927448248450
109881233056
114210775712
121ab9256200
13c16205886
1469a488652
153cc74cb56
hex24cf7a6a0

9881233056 has 72 divisors (see below), whose sum is σ = 28143984960. Its totient is φ = 3288560256.

The previous prime is 9881233049. The next prime is 9881233069. The reversal of 9881233056 is 6503321889.

It is a happy number.

9881233056 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 (72).

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 11 ways as a sum of consecutive naturals, for example, 158505 + ... + 211863.

It is an arithmetic number, because the mean of its divisors is an integer number (390888680).

Almost surely, 29881233056 is an apocalyptic number.

9881233056 is a gapful number since it is divisible by the number (96) 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 9881233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071992480).

9881233056 is an abundant number, since it is smaller than the sum of its proper divisors (18262751904).

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

9881233056 is a wasteful number, since it uses less digits than its factorization.

9881233056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54018 (or 54007 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9881233056 is about 99404.3915327688. The cubic root of 9881233056 is about 2145.8715118004.

The spelling of 9881233056 in words is "nine billion, eight hundred eighty-one million, two hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 643 1286 1929 2572 3858 5144 5787 7716 10288 11574 15432 20576 23148 30864 46296 53359 61728 92592 106718 160077 185184 213436 320154 426872 480231 640308 853744 960462 1280616 1707488 1920924 2561232 3841848 5122464 7683696 15367392 34309837 68619674 102929511 137239348 205859022 274478696 308788533 411718044 548957392 617577066 823436088 1097914784 1235154132 1646872176 2470308264 3293744352 4940616528 9881233056