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13412907936 = 25354142071
BaseRepresentation
bin11000111110111100…
…01011101110100000
31021121202202022200000
430133132023232200
5204432201023221
610054541100000
7653245556601
oct143736135640
937552668600
1013412907936
11576326728a
122723b57600
131359ab261c
1491352dda8
15537814e26
hex31f78bba0

13412907936 has 144 divisors (see below), whose sum is σ = 40521394368. Its totient is φ = 4361817600.

The previous prime is 13412907931. The next prime is 13412907941. The reversal of 13412907936 is 63970921431.

It is an interprime number because it is at equal distance from previous prime (13412907931) and next prime (13412907941).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×134129079362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13412907891 and 13412907900.

It is not an unprimeable number, because it can be changed into a prime (13412907931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297781 + ... + 339851.

It is an arithmetic number, because the mean of its divisors is an integer number (281398572).

Almost surely, 213412907936 is an apocalyptic number.

13412907936 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 13412907936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260697184).

13412907936 is an abundant number, since it is smaller than the sum of its proper divisors (27108486432).

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

13412907936 is an equidigital number, since it uses as much as digits as its factorization.

13412907936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42137 (or 42117 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13412907936 in words is "thirteen billion, four hundred twelve million, nine hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 243 246 288 324 328 369 432 486 492 648 656 738 864 972 984 1107 1296 1312 1476 1944 1968 2214 2592 2952 3321 3888 3936 4428 5904 6642 7776 8856 9963 11808 13284 17712 19926 26568 35424 39852 42071 53136 79704 84142 106272 126213 159408 168284 252426 318816 336568 378639 504852 673136 757278 1009704 1135917 1346272 1514556 1724911 2019408 2271834 3029112 3407751 3449822 4038816 4543668 5174733 6058224 6815502 6899644 9087336 10223253 10349466 12116448 13631004 13799288 15524199 18174672 20446506 20698932 27262008 27598576 31048398 36349344 40893012 41397864 46572597 54524016 55197152 62096796 81786024 82795728 93145194 109048032 124193592 139717791 163572048 165591456 186290388 248387184 279435582 327144096 372580776 419153373 496774368 558871164 745161552 838306746 1117742328 1490323104 1676613492 2235484656 3353226984 4470969312 6706453968 13412907936