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13487745956292 = 223229113114330061
BaseRepresentation
bin1100010001000101110001…
…0011100111100111000100
31202202102020012120022201100
43010101130103213213010
53231440400431100132
644404103541100100
72561312630001066
oct304213423474704
952672205508640
1013487745956292
114330136a70843
12161a0229b7630
1376ab7314454a
14348b4b9bb736
15185ca95b737c
hexc445c4e79c4

13487745956292 has 72 divisors (see below), whose sum is σ = 35581801895640. Its totient is φ = 4302468817920.

The previous prime is 13487745956281. The next prime is 13487745956297. The reversal of 13487745956292 is 29265954778431.

13487745956292 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 7 + 7 + 4 + 59 + 562 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7863078276 + 13479882878016 = 88674^2 + 3671496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13487745956292.

It is not an unprimeable number, because it can be changed into a prime (13487745956297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57047059 + ... + 57283002.

It is an arithmetic number, because the mean of its divisors is an integer number (494191692995).

Almost surely, 213487745956292 is an apocalyptic number.

13487745956292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13487745956292 is an abundant number, since it is smaller than the sum of its proper divisors (22094055939348).

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

13487745956292 is a wasteful number, since it uses less digits than its factorization.

13487745956292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114330213 (or 114330208 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 13487745956292 in words is "thirteen trillion, four hundred eighty-seven billion, seven hundred forty-five million, nine hundred fifty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 113 116 174 226 261 339 348 452 522 678 1017 1044 1356 2034 3277 4068 6554 9831 13108 19662 29493 39324 58986 117972 114330061 228660122 342990183 457320244 685980366 1028970549 1371960732 2057941098 3315571769 4115882196 6631143538 9946715307 12919296893 13262287076 19893430614 25838593786 29840145921 38757890679 39786861228 51677187572 59680291842 77515781358 116273672037 119360583684 155031562716 232547344074 374659609897 465094688148 749319219794 1123978829691 1498638439588 2247957659382 3371936489073 4495915318764 6743872978146 13487745956292