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12515245344 = 2532713147389
BaseRepresentation
bin10111010011111011…
…10111110100100000
31012022012122100002100
423221331313310200
5201112400322334
65425513050400
7622065554520
oct135175676440
935265570070
1012515245344
115342591078
1225133b6a00
131245b26b24
1486a221680
154d3aeac99
hex2e9f77d20

12515245344 has 144 divisors (see below), whose sum is σ = 40985904960. Its totient is φ = 3548413440.

The previous prime is 12515245313. The next prime is 12515245357. The reversal of 12515245344 is 44354251521.

12515245344 is a `hidden beast` number, since 12 + 5 + 152 + 453 + 44 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12515245299 and 12515245308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240402 + ... + 287790.

It is an arithmetic number, because the mean of its divisors is an integer number (284624340).

Almost surely, 212515245344 is an apocalyptic number.

12515245344 is a gapful number since it is divisible by the number (14) 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 12515245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20492952480).

12515245344 is an abundant number, since it is smaller than the sum of its proper divisors (28470659616).

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

12515245344 is a wasteful number, since it uses less digits than its factorization.

12515245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47543 (or 47532 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 12515245344 its reverse (44354251521), we get a palindrome (56869496865).

The spelling of 12515245344 in words is "twelve billion, five hundred fifteen million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 288 336 393 504 524 672 786 917 1008 1048 1179 1572 1834 2016 2096 2358 2751 3144 3668 4192 4716 5502 6288 7336 8253 9432 11004 12576 14672 16506 18864 22008 29344 33012 37728 44016 47389 66024 88032 94778 132048 142167 189556 264096 284334 331723 379112 426501 568668 663446 758224 853002 995169 1137336 1326892 1516448 1706004 1990338 2274672 2653784 2985507 3412008 3980676 4549344 5307568 5971014 6207959 6824016 7961352 10615136 11942028 12415918 13648032 15922704 18623877 23884056 24831836 31845408 37247754 43455713 47768112 49663672 55871631 74495508 86911426 95536224 99327344 111743262 130367139 148991016 173822852 198654688 223486524 260734278 297982032 347645704 391101417 446973048 521468556 595964064 695291408 782202834 893946096 1042937112 1390582816 1564405668 1787892192 2085874224 3128811336 4171748448 6257622672 12515245344