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31272731406 = 2327268392507
BaseRepresentation
bin11101001000000000…
…000000001100001110
32222201110011100122100
4131020000000030032
51003021304401111
622211055055530
72154652555020
oct351000001416
988643140570
1031272731406
1112298706a74
1260892115a6
132c44c733c7
1417294ac010
15c3072e756
hex74800030e

31272731406 has 48 divisors (see below), whose sum is σ = 77466939264. Its totient is φ = 8931639312.

The previous prime is 31272731387. The next prime is 31272731407. The reversal of 31272731406 is 60413727213.

31272731406 is a `hidden beast` number, since 312 + 7 + 27 + 314 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31272731407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291805 + ... + 384311.

It is an arithmetic number, because the mean of its divisors is an integer number (1613894568).

Almost surely, 231272731406 is an apocalyptic number.

31272731406 is an abundant number, since it is smaller than the sum of its proper divisors (46194207858).

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

31272731406 is a wasteful number, since it uses less digits than its factorization.

31272731406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95205 (or 95202 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 31272731406 in words is "thirty-one billion, two hundred seventy-two million, seven hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2683 5366 8049 16098 18781 24147 37562 48294 56343 92507 112686 169029 185014 277521 338058 555042 647549 832563 1295098 1665126 1942647 3885294 5827941 11655882 248196281 496392562 744588843 1489177686 1737373967 2233766529 3474747934 4467533058 5212121901 10424243802 15636365703 31272731406