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13117132548 = 22341331100459
BaseRepresentation
bin11000011011101011…
…11000111100000100
31020212011012101010000
430031311320330010
5203330441220143
610005333401300
7643024533642
oct141565707404
936764171100
1013117132548
115621308913
122660a99230
1313107336c0
148c613a192
1551b88cbd3
hex30dd78f04

13117132548 has 120 divisors (see below), whose sum is σ = 38120149760. Its totient is φ = 3905807040.

The previous prime is 13117132537. The next prime is 13117132549. The reversal of 13117132548 is 84523171131.

13117132548 is a `hidden beast` number, since 1 + 3 + 11 + 71 + 32 + 548 = 666.

13117132548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13117132549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80343 + ... + 180801.

Almost surely, 213117132548 is an apocalyptic number.

13117132548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13117132548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060074880).

13117132548 is an abundant number, since it is smaller than the sum of its proper divisors (25003017212).

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

13117132548 is a wasteful number, since it uses less digits than its factorization.

13117132548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100519 (or 100508 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 13117132548 in words is "thirteen billion, one hundred seventeen million, one hundred thirty-two thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1116 1209 1404 1612 1674 2106 2418 2511 3348 3627 4212 4836 5022 7254 10044 10881 14508 21762 32643 43524 65286 100459 130572 200918 301377 401836 602754 904131 1205508 1305967 1808262 2611934 2712393 3114229 3616524 3917901 5223868 5424786 6228458 7835802 8137179 9342687 10849572 11753703 12456916 15671604 16274358 18685374 23507406 28028061 32548716 35261109 37370748 40484977 47014812 56056122 70522218 80969954 84084183 105783327 112112244 121454931 141044436 161939908 168168366 211566654 242909862 252252549 336336732 364364793 423133308 485819724 504505098 728729586 1009010196 1093094379 1457459172 2186188758 3279283137 4372377516 6558566274 13117132548