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12964535460 = 2233547510817
BaseRepresentation
bin11000001001011111…
…10001110010100100
31020110112001122021000
430010233301302210
5203022410113320
65542242553300
7636162506322
oct140457616244
936415048230
1012964535460
115553162418
122619968830
1312b7c35676
148adb76d12
1550d298c90
hex304bf1ca4

12964535460 has 96 divisors (see below), whose sum is σ = 41192363520. Its totient is φ = 3383645184.

The previous prime is 12964535453. The next prime is 12964535489. The reversal of 12964535460 is 6453546921.

12964535460 is a `hidden beast` number, since 1 + 2 + 96 + 453 + 54 + 60 = 666.

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 31 ways as a sum of consecutive naturals, for example, 230029 + ... + 280788.

It is an arithmetic number, because the mean of its divisors is an integer number (429087120).

Almost surely, 212964535460 is an apocalyptic number.

12964535460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12964535460 is an abundant number, since it is smaller than the sum of its proper divisors (28227828060).

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

12964535460 is a wasteful number, since it uses less digits than its factorization.

12964535460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510882 (or 510874 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12964535460 in words is "twelve billion, nine hundred sixty-four million, five hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 510817 1021634 1532451 2043268 2554085 3064902 4597353 5108170 6129804 7662255 9194706 10216340 13792059 15324510 18389412 22986765 24008399 27584118 30649020 45973530 48016798 55168236 68960295 72025197 91947060 96033596 120041995 137920590 144050394 216075591 240083990 275841180 288100788 360125985 432151182 480167980 648226773 720251970 864302364 1080377955 1296453546 1440503940 2160755910 2592907092 3241133865 4321511820 6482267730 12964535460