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13376558316 = 223112314872963
BaseRepresentation
bin11000111010100111…
…00001010011101100
31021112020100120100210
430131103201103230
5204343344331231
610051202022420
7652324604202
oct143523412354
937466316323
1013376558316
11574479a280
122713947a10
1313523c6484
1490c78b072
15534534a46
hex31d4e14ec

13376558316 has 96 divisors (see below), whose sum is σ = 35565723648. Its totient is φ = 3873348160.

The previous prime is 13376558309. The next prime is 13376558323. The reversal of 13376558316 is 61385567331.

13376558316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13376558309) and next prime (13376558323).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4513051 + ... + 4516013.

It is an arithmetic number, because the mean of its divisors is an integer number (370476288).

Almost surely, 213376558316 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 13376558316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782861824).

13376558316 is an abundant number, since it is smaller than the sum of its proper divisors (22189165332).

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

13376558316 is a wasteful number, since it uses less digits than its factorization.

13376558316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4489 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The spelling of 13376558316 in words is "thirteen billion, three hundred seventy-six million, five hundred fifty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1487 1518 2963 2974 3036 4461 5926 5948 8889 8922 11852 16357 17778 17844 32593 32714 34201 35556 49071 65186 65428 68149 68402 97779 98142 102603 130372 136298 136804 195558 196284 204447 205206 272596 376211 391116 408894 410412 749639 752422 817788 1128633 1499278 1504844 2248917 2257266 2998556 4405981 4497834 4514532 8811962 8995668 13217943 17623924 26435886 48465791 52871772 96931582 101337563 145397373 193863164 202675126 290794746 304012689 405350252 581589492 608025378 1114713193 1216050756 2229426386 3344139579 4458852772 6688279158 13376558316