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31375097856 = 2173226597
BaseRepresentation
bin11101001110000110…
…100000000000000000
32222222120210010000100
4131032012200000000
51003224011112411
622225153122400
72160334634334
oct351606400000
988876703010
1031375097856
1112340474443
1260b7559400
132c6023507b
141738d177c4
15c39700456
hex74e1a0000

31375097856 has 108 divisors (see below), whose sum is σ = 90642233682. Its totient is φ = 10457972736.

The previous prime is 31375097827. The next prime is 31375097891. The reversal of 31375097856 is 65879057313.

31375097856 is a `hidden beast` number, since 3 + 13 + 7 + 509 + 78 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20625555456 + 10749542400 = 143616^2 + 103680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1166350 + ... + 1192946.

Almost surely, 231375097856 is an apocalyptic number.

31375097856 is a gapful number since it is divisible by the number (36) 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 31375097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45321116841).

31375097856 is an abundant number, since it is smaller than the sum of its proper divisors (59267135826).

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

31375097856 is an frugal number, since it uses more digits than its factorization.

31375097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26637 (or 26602 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 31375097856 in words is "thirty-one billion, three hundred seventy-five million, ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 26597 32768 36864 49152 53194 65536 73728 79791 98304 106388 131072 147456 159582 196608 212776 239373 294912 319164 393216 425552 478746 589824 638328 851104 957492 1179648 1276656 1702208 1914984 2553312 3404416 3829968 5106624 6808832 7659936 10213248 13617664 15319872 20426496 27235328 30639744 40852992 54470656 61279488 81705984 108941312 122558976 163411968 217882624 245117952 326823936 435765248 490235904 653647872 871530496 980471808 1307295744 1743060992 1960943616 2614591488 3486121984 3921887232 5229182976 7843774464 10458365952 15687548928 31375097856