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31307160192 = 2737112921259
BaseRepresentation
bin11101001010000011…
…010101101010000000
32222210211221112001120
4131022003111222000
51003104113111232
622214325032240
72155551320340
oct351203255200
988724845046
1031307160192
1112306091910
126098855680
132c4c139179
14172dcb0d20
15c3378092c
hex74a0d5a80

31307160192 has 384 divisors, whose sum is σ = 107463283200. Its totient is φ = 7845089280.

The previous prime is 31307160191. The next prime is 31307160223. The reversal of 31307160192 is 29106170313.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (31307160191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24866059 + ... + 24867317.

It is an arithmetic number, because the mean of its divisors is an integer number (279852300).

Almost surely, 231307160192 is an apocalyptic number.

31307160192 is a gapful number since it is divisible by the number (32) 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 31307160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53731641600).

31307160192 is an abundant number, since it is smaller than the sum of its proper divisors (76156123008).

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

31307160192 is a wasteful number, since it uses less digits than its factorization.

31307160192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 31307160192 in words is "thirty-one billion, three hundred seven million, one hundred sixty thousand, one hundred ninety-two".