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12937270068960 = 253526952645977
BaseRepresentation
bin1011110001000011000101…
…1000110000011011100000
31200210210100121001212011020
42330100301120300123200
53143431012114201320
643303144432245440
72503454420110146
oct274206130603340
950723317055136
1012937270068960
114138735753086
12154b3b56a0880
1372ac96795023
1432a24ab8b596
151767dc43a940
hexbc4316306e0

12937270068960 has 48 divisors (see below), whose sum is σ = 40752400718736. Its totient is φ = 3449938684928.

The previous prime is 12937270068941. The next prime is 12937270069001. The reversal of 12937270068960 is 6986007273921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12937270068894 and 12937270068903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13476322509 + ... + 13476323468.

It is an arithmetic number, because the mean of its divisors is an integer number (849008348307).

Almost surely, 212937270068960 is an apocalyptic number.

12937270068960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12937270068960 is an abundant number, since it is smaller than the sum of its proper divisors (27815130649776).

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

12937270068960 is a wasteful number, since it uses less digits than its factorization.

12937270068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952645995 (or 26952645987 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 12937270068960 in words is "twelve trillion, nine hundred thirty-seven billion, two hundred seventy million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26952645977 53905291954 80857937931 107810583908 134763229885 161715875862 215621167816 269526459770 323431751724 404289689655 431242335632 539052919540 646863503448 808579379310 862484671264 1078105839080 1293727006896 1617158758620 2156211678160 2587454013792 3234317517240 4312423356320 6468635034480 12937270068960