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31364672136 = 23371671117931
BaseRepresentation
bin11101001101011110…
…101110101010001000
32222221212011102121120
4131031132232222020
51003213324002021
622224141435240
72160150212550
oct351536565210
988855142546
1031364672136
11123355a3446
1260b3b6bb20
132c5b0247c5
1417377a2160
15c388412c6
hex74d7aea88

31364672136 has 64 divisors (see below), whose sum is σ = 90150036480. Its totient is φ = 8907666240.

The previous prime is 31364672111. The next prime is 31364672137. The reversal of 31364672136 is 63127646313.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31364672137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530910 + ... + 587021.

It is an arithmetic number, because the mean of its divisors is an integer number (1408594320).

Almost surely, 231364672136 is an apocalyptic number.

It is an amenable number.

31364672136 is an abundant number, since it is smaller than the sum of its proper divisors (58785364344).

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

31364672136 is a wasteful number, since it uses less digits than its factorization.

31364672136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118114 (or 1118110 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The spelling of 31364672136 in words is "thirty-one billion, three hundred sixty-four million, six hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 2004 2338 3507 4008 4676 7014 9352 14028 28056 1117931 2235862 3353793 4471724 6707586 7825517 8943448 13415172 15651034 23476551 26830344 31302068 46953102 62604136 93906204 186694477 187812408 373388954 560083431 746777908 1120166862 1306861339 1493555816 2240333724 2613722678 3920584017 4480667448 5227445356 7841168034 10454890712 15682336068 31364672136