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13085856504 = 233472412127
BaseRepresentation
bin11000010111111101…
…00101001011111000
31020202222100101110000
430023332211023320
5203244434402004
610002255153000
7642164642100
oct141376451370
936688311400
1013085856504
115605696746
122652515760
131307102976
148c1d18200
15518c60c39
hex30bfa52f8

13085856504 has 120 divisors (see below), whose sum is σ = 42636702240. Its totient is φ = 3738807072.

The previous prime is 13085856481. The next prime is 13085856517. The reversal of 13085856504 is 40565858031.

13085856504 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 585 + 65 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13085856504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 174312 + ... + 237815.

It is an arithmetic number, because the mean of its divisors is an integer number (355305852).

Almost surely, 213085856504 is an apocalyptic number.

13085856504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13085856504 is an abundant number, since it is smaller than the sum of its proper divisors (29550845736).

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

13085856504 is a wasteful number, since it uses less digits than its factorization.

13085856504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412159 (or 412139 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 13085856504 in words is "thirteen billion, eighty-five million, eight hundred fifty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 412127 824254 1236381 1648508 2472762 2884889 3297016 3709143 4945524 5769778 7418286 8654667 9891048 11127429 11539556 14836572 17309334 20194223 22254858 23079112 25964001 29673144 33382287 34618668 40388446 44509716 51928002 60582669 66764574 69237336 77892003 80776892 89019432 103856004 121165338 133529148 155784006 161553784 181748007 207712008 233676009 242330676 267058296 311568012 363496014 467352018 484661352 545244021 623136024 726992028 934704036 1090488042 1453984056 1635732063 1869408072 2180976084 3271464126 4361952168 6542928252 13085856504