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12975177060 = 22325211134147
BaseRepresentation
bin11000001010110000…
…10111110101100100
31020111021002021210100
430011120113311210
5203033121131220
65543303024100
7636352120356
oct140530276544
936437067710
1012975177060
11555917062a
12262143b030
1312ba1c0281
148b13470d6
1550e19bd90
hex305617d64

12975177060 has 72 divisors (see below), whose sum is σ = 39377834496. Its totient is φ = 3458306880.

The previous prime is 12975177049. The next prime is 12975177107. The reversal of 12975177060 is 6077157921.

12975177060 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 517 + 70 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12975176997 and 12975177015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362907 + ... + 397053.

It is an arithmetic number, because the mean of its divisors is an integer number (546914368).

Almost surely, 212975177060 is an apocalyptic number.

12975177060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12975177060 is an abundant number, since it is smaller than the sum of its proper divisors (26402657436).

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

12975177060 is a wasteful number, since it uses less digits than its factorization.

12975177060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36273 (or 36268 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 12975177060 in words is "twelve billion, nine hundred seventy-five million, one hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2111 4222 6333 8444 10555 12666 18999 21110 25332 31665 34147 37998 42220 63330 68294 75996 94995 102441 126660 136588 170735 189990 204882 307323 341470 379980 409764 512205 614646 682940 1024410 1229292 1536615 2048820 3073230 6146460 72084317 144168634 216252951 288337268 360421585 432505902 648758853 720843170 865011804 1081264755 1297517706 1441686340 2162529510 2595035412 3243794265 4325059020 6487588530 12975177060