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12931577856 = 21133233861
BaseRepresentation
bin11000000101100100…
…00011100000000000
31020101020001012221000
430002302003200000
5202440440442411
65535104332000
7635312412111
oct140262034000
936336035830
1012931577856
1155365a192a
12260a914000
1312b1166422
148a9638208
1550a438956
hex302c83800

12931577856 has 96 divisors (see below), whose sum is σ = 38306595600. Its totient is φ = 4310507520.

The previous prime is 12931577851. The next prime is 12931577873. The reversal of 12931577856 is 65877513921.

12931577856 is a `hidden beast` number, since 12 + 9 + 3 + 1 + 577 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12931577851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61635 + ... + 172226.

Almost surely, 212931577856 is an apocalyptic number.

12931577856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12931577856 is an abundant number, since it is smaller than the sum of its proper divisors (25375017744).

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

12931577856 is an equidigital number, since it uses as much as digits as its factorization.

12931577856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233892 (or 233866 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 12931577856 in words is "twelve billion, nine hundred thirty-one million, five hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 233861 467722 701583 935444 1403166 1870888 2104749 2806332 3741776 4209498 5612664 6314247 7483552 8418996 11225328 12628494 14967104 16837992 22450656 25256988 29934208 33675984 44901312 50513976 59868416 67351968 89802624 101027952 119736832 134703936 179605248 202055904 239473664 269407872 359210496 404111808 478947328 538815744 718420992 808223616 1077631488 1436841984 1616447232 2155262976 3232894464 4310525952 6465788928 12931577856