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12975092640 = 253259010481
BaseRepresentation
bin11000001010110000…
…00011001110100000
31020111020220222222200
430011120003032200
5203033110431030
65543301133200
7636351316266
oct140530031640
936436828880
1012975092640
115559113164
1226213ba200
1312ba190a13
148b1324436
1550e181d60
hex3056033a0

12975092640 has 72 divisors (see below), whose sum is σ = 44277508548. Its totient is φ = 3460024320.

The previous prime is 12975092561. The next prime is 12975092659. The reversal of 12975092640 is 4629057921.

12975092640 is a `hidden beast` number, since 12 + 97 + 509 + 2 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12645452304 + 329640336 = 112452^2 + 18156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4503801 + ... + 4506680.

Almost surely, 212975092640 is an apocalyptic number.

12975092640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12975092640 is an abundant number, since it is smaller than the sum of its proper divisors (31302415908).

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

12975092640 is a wasteful number, since it uses less digits than its factorization.

12975092640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010502 (or 9010491 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12975092640 in words is "twelve billion, nine hundred seventy-five million, ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9010481 18020962 27031443 36041924 45052405 54062886 72083848 81094329 90104810 108125772 135157215 144167696 162188658 180209620 216251544 270314430 288335392 324377316 360419240 405471645 432503088 540628860 648754632 720838480 810943290 865006176 1081257720 1297509264 1441676960 1621886580 2162515440 2595018528 3243773160 4325030880 6487546320 12975092640