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12545113344 = 283131124693
BaseRepresentation
bin10111010111011111…
…10011110100000000
31012101021211210021120
423223233303310000
5201143022111334
65432501152240
7622610463321
oct135357636400
935337753246
1012545113344
115358431375
1225213bb680
13124c0839ba
14870198448
154d654a949
hex2ebbf3d00

12545113344 has 72 divisors (see below), whose sum is σ = 33643438752. Its totient is φ = 4149749760.

The previous prime is 12545113319. The next prime is 12545113381. The reversal of 12545113344 is 44331154521.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38262 + ... + 162954.

Almost surely, 212545113344 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 12545113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821719376).

12545113344 is an abundant number, since it is smaller than the sum of its proper divisors (21098325408).

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

12545113344 is a wasteful number, since it uses less digits than its factorization.

12545113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124843 (or 124829 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 12545113344 its reverse (44331154521), we get a palindrome (56876267865).

The spelling of 12545113344 in words is "twelve billion, five hundred forty-five million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 768 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 33536 50304 100608 124693 249386 374079 498772 748158 997544 1496316 1995088 2992632 3990176 5985264 7980352 11970528 15960704 16334783 23941056 31921408 32669566 47882112 49004349 65339132 95764224 98008698 130678264 196017396 261356528 392034792 522713056 784069584 1045426112 1568139168 2090852224 3136278336 4181704448 6272556672 12545113344