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13117644792 = 233473193287
BaseRepresentation
bin11000011011101111…
…10101111111111000
31020212012011101210000
430031313311333320
5203331104113132
610005352353000
7643032066240
oct141567657770
936765141700
1013117644792
11562162875a
1226610a5760
1313108828c5
148c6230b20
1551b93e87c
hex30ddf5ff8

13117644792 has 160 divisors (see below), whose sum is σ = 43345336320. Its totient is φ = 3626959680.

The previous prime is 13117644773. The next prime is 13117644833. The reversal of 13117644792 is 29744671131.

It is a happy number.

13117644792 is a `hidden beast` number, since 1 + 3 + 1 + 176 + 4 + 479 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93973 + ... + 187259.

It is an arithmetic number, because the mean of its divisors is an integer number (270908352).

Almost surely, 213117644792 is an apocalyptic number.

13117644792 is a gapful number since it is divisible by the number (12) 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 13117644792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672668160).

13117644792 is an abundant number, since it is smaller than the sum of its proper divisors (30227691528).

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

13117644792 is a wasteful number, since it uses less digits than its factorization.

13117644792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93343 (or 93330 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 13117644792 in words is "thirteen billion, one hundred seventeen million, six hundred forty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 1116 1134 1302 1512 1674 1736 1953 2232 2268 2511 2604 3348 3906 4536 5022 5208 5859 6696 7812 10044 11718 15624 17577 20088 23436 35154 46872 70308 93287 140616 186574 279861 373148 559722 653009 746296 839583 1119444 1306018 1679166 1959027 2238888 2518749 2612036 2891897 3358332 3918054 5037498 5224072 5783794 5877081 6716664 7556247 7836108 8675691 10074996 11567588 11754162 15112494 15672216 17351382 17631243 20149992 20243279 23135176 23508324 26027073 30224988 34702764 35262486 40486558 47016648 52054146 52893729 60449976 60729837 69405528 70524972 78081219 80973116 104108292 105787458 121459674 141049944 156162438 161946232 182189511 208216584 211574916 234243657 242919348 312324876 364379022 423149832 468487314 485838696 546568533 624649752 728758044 936974628 1093137066 1457516088 1639705599 1873949256 2186274132 3279411198 4372548264 6558822396 13117644792