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31378117824 = 263318158633
BaseRepresentation
bin11101001110010010…
…000001010011000000
32222222210110112122000
4131032102001103000
51003230244232244
622225341544000
72160402413034
oct351622012300
988883415560
1031378117824
1112342147389
1260b8575000
132c60a51831
1417394a21c4
15c39aea169
hex74e4814c0

31378117824 has 56 divisors (see below), whose sum is σ = 92245860720. Its totient is φ = 10459372032.

The previous prime is 31378117817. The next prime is 31378117861. The reversal of 31378117824 is 42871187313.

It is a self number, because there is not a number n which added to its sum of digits gives 31378117824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9077589 + ... + 9081044.

Almost surely, 231378117824 is an apocalyptic number.

It is an amenable number.

31378117824 is an abundant number, since it is smaller than the sum of its proper divisors (60867742896).

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

31378117824 is a wasteful number, since it uses less digits than its factorization.

31378117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158654 (or 18158638 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 31378117824 in words is "thirty-one billion, three hundred seventy-eight million, one hundred seventeen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 18158633 36317266 54475899 72634532 108951798 145269064 163427697 217903596 290538128 326855394 435807192 490283091 581076256 653710788 871614384 980566182 1162152512 1307421576 1743228768 1961132364 2614843152 3486457536 3922264728 5229686304 7844529456 10459372608 15689058912 31378117824