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13139212816 = 24291011811549
BaseRepresentation
bin11000011110010100…
…00111101000010000
31020220200202011112201
430033022013220100
5203402114302231
610011442532544
7643413315622
oct141712075020
936820664481
1013139212816
11563281a074
122668367154
131315194952
148c9046c12
1551d7a0161
hex30f287a10

13139212816 has 80 divisors (see below), whose sum is σ = 26760006000. Its totient is φ = 6241536000.

The previous prime is 13139212813. The next prime is 13139212843. The reversal of 13139212816 is 61821293131.

It can be written as a sum of positive squares in 8 ways, for example, as 179667216 + 12959545600 = 13404^2 + 113840^2 .

It is not an unprimeable number, because it can be changed into a prime (13139212813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8481610 + ... + 8483158.

It is an arithmetic number, because the mean of its divisors is an integer number (334500075).

Almost surely, 213139212816 is an apocalyptic number.

13139212816 is a gapful number since it is divisible by the number (16) 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 13139212816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380003000).

13139212816 is an abundant number, since it is smaller than the sum of its proper divisors (13620793184).

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

13139212816 is a wasteful number, since it uses less digits than its factorization.

13139212816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1862 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

It can be divided in two parts, 1313 and 9212816, that added together give a palindrome (9214129).

The spelling of 13139212816 in words is "thirteen billion, one hundred thirty-nine million, two hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 58 101 116 181 202 232 362 404 464 724 808 1448 1549 1616 2896 2929 3098 5249 5858 6196 10498 11716 12392 18281 20996 23432 24784 36562 41992 44921 46864 73124 83984 89842 146248 156449 179684 280369 292496 312898 359368 530149 560738 625796 718736 1060298 1121476 1251592 2120596 2242952 2503184 4241192 4485904 4537021 8130701 8482384 9074042 16261402 18148084 28317269 32522804 36296168 56634538 65045608 72592336 113269076 130091216 226538152 453076304 821200801 1642401602 3284803204 6569606408 13139212816