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12504343152 = 2437611135399
BaseRepresentation
bin10111010010101000…
…10010001001110000
31012021110010110002110
423221110102021300
5201102102440102
65424443245320
7621604106640
oct135124221160
935243113073
1012504343152
1153374150a4
12250b819840
1312437aa722
148689c4520
154d2b9586c
hex2e9512270

12504343152 has 160 divisors (see below), whose sum is σ = 37861862400. Its totient is φ = 3482357760.

The previous prime is 12504343151. The next prime is 12504343193. The reversal of 12504343152 is 25134340521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504343151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313349 + ... + 2318747.

It is an arithmetic number, because the mean of its divisors is an integer number (236636640).

Almost surely, 212504343152 is an apocalyptic number.

12504343152 is a gapful number since it is divisible by the number (12) 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 12504343152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930931200).

12504343152 is an abundant number, since it is smaller than the sum of its proper divisors (25357519248).

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

12504343152 is a wasteful number, since it uses less digits than its factorization.

12504343152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12504343152 its reverse (25134340521), we get a palindrome (37638683673).

The spelling of 12504343152 in words is "twelve billion, five hundred four million, three hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 113 122 168 183 226 244 336 339 366 427 452 488 678 732 791 854 904 976 1281 1356 1464 1582 1708 1808 2373 2562 2712 2928 3164 3416 4746 5124 5399 5424 6328 6832 6893 9492 10248 10798 12656 13786 16197 18984 20496 20679 21596 27572 32394 37793 37968 41358 43192 48251 55144 64788 75586 82716 86384 96502 110288 113379 129576 144753 151172 165432 193004 226758 259152 289506 302344 329339 330864 386008 453516 579012 604688 610087 658678 772016 907032 988017 1158024 1220174 1317356 1814064 1830261 1976034 2305373 2316048 2440348 2634712 3660522 3952068 4270609 4610746 4880696 5269424 6916119 7321044 7904136 8541218 9221492 9761392 12811827 13832238 14642088 15808272 17082436 18442984 25623654 27664476 29284176 34164872 36885968 37215307 51247308 55328952 68329744 74430614 102494616 110657904 111645921 148861228 204989232 223291842 260507149 297722456 446583684 521014298 595444912 781521447 893167368 1042028596 1563042894 1786334736 2084057192 3126085788 4168114384 6252171576 12504343152