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31261984768 = 211710332111
BaseRepresentation
bin11101000111010111…
…000000100000000000
32222200200221101000201
4131013113000200000
51003011032003033
622210032454544
72154462325510
oct350727004000
988620841021
1031261984768
1112292636953
1260856aa454
132c4297ca51
141727cb1840
15c2e80a47d
hex7475c0800

31261984768 has 96 divisors (see below), whose sum is σ = 71541550080. Its totient is φ = 13378682880.

The previous prime is 31261984763. The next prime is 31261984771. The reversal of 31261984768 is 86748916213.

It is not an unprimeable number, because it can be changed into a prime (31261984763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14808033 + ... + 14810143.

It is an arithmetic number, because the mean of its divisors is an integer number (745224480).

Almost surely, 231261984768 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 31261984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35770775040).

31261984768 is an abundant number, since it is smaller than the sum of its proper divisors (40279565312).

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

31261984768 is a wasteful number, since it uses less digits than its factorization.

31261984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3153 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The spelling of 31261984768 in words is "thirty-one billion, two hundred sixty-one million, nine hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1033 1792 2048 2066 2111 3584 4132 4222 7168 7231 8264 8444 14336 14462 14777 16528 16888 28924 29554 33056 33776 57848 59108 66112 67552 115696 118216 132224 135104 231392 236432 264448 270208 462784 472864 528896 540416 925568 945728 1057792 1080832 1851136 1891456 2115584 2161664 2180663 3702272 3782912 4323328 4361326 7404544 7565824 8722652 14809088 15131648 15264641 17445304 30263296 30529282 34890608 61058564 69781216 122117128 139562432 244234256 279124864 488468512 558249728 976937024 1116499456 1953874048 2232998912 3907748096 4465997824 7815496192 15630992384 31261984768