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13149327156 = 22371077012087
BaseRepresentation
bin11000011111100001…
…01100111100110100
31020221101210000210220
430033300230330310
5203412211432111
610012443414340
7643565302530
oct141760547464
936841700726
1013149327156
1156384a8129
12266b8243b0
1313172c6574
148ca51abc0
1551e5ebe06
hex30fc2cf34

13149327156 has 96 divisors (see below), whose sum is σ = 35460052992. Its totient is φ = 3714748800.

The previous prime is 13149327101. The next prime is 13149327173. The reversal of 13149327156 is 65172394131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 6299545 + ... + 6301631.

It is an arithmetic number, because the mean of its divisors is an integer number (369375552).

Almost surely, 213149327156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13149327156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730026496).

13149327156 is an abundant number, since it is smaller than the sum of its proper divisors (22310725836).

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

13149327156 is a wasteful number, since it uses less digits than its factorization.

13149327156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2907 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The spelling of 13149327156 in words is "thirteen billion, one hundred forty-nine million, three hundred twenty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 701 749 1284 1402 1498 2087 2103 2247 2804 2996 4174 4206 4494 4907 6261 8348 8412 8988 9814 12522 14609 14721 19628 25044 29218 29442 43827 58436 58884 75007 87654 150014 175308 223309 225021 300028 446618 450042 525049 669927 893236 900084 1050098 1339854 1462987 1563163 1575147 2100196 2679708 2925974 3126326 3150294 4388961 4689489 5851948 6252652 6300588 8777922 9378978 10240909 17555844 18757956 20481818 30722727 40963636 61445454 122890908 156539609 313079218 469618827 626158436 939237654 1095777263 1878475308 2191554526 3287331789 4383109052 6574663578 13149327156