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31369268520 = 2335523140317
BaseRepresentation
bin11101001101110000…
…010000110100101000
32222222011210221200000
4131031300100310220
51003221013043040
622224424143000
72160234245232
oct351560206450
988864727600
1031369268520
1112338152807
1260b5607a60
132c5bc73965
14173823b252
15c38e4d130
hex74dc10d28

31369268520 has 192 divisors, whose sum is σ = 110323624320. Its totient is φ = 8001379584.

The previous prime is 31369268501. The next prime is 31369268521. The reversal of 31369268520 is 2586296313.

31369268520 is a `hidden beast` number, since 3 + 1 + 3 + 69 + 2 + 68 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31369268521) 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, 153402 + ... + 293718.

It is an arithmetic number, because the mean of its divisors is an integer number (574602210).

Almost surely, 231369268520 is an apocalyptic number.

31369268520 is a gapful number since it is divisible by the number (30) 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 31369268520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55161812160).

31369268520 is an abundant number, since it is smaller than the sum of its proper divisors (78954355800).

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

31369268520 is a wasteful number, since it uses less digits than its factorization.

31369268520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140366 (or 140350 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 31369268520 in words is "thirty-one billion, three hundred sixty-nine million, two hundred sixty-eight thousand, five hundred twenty".