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15051531144 = 23313431935813
BaseRepresentation
bin11100000010010010…
…00010001110001000
31102211222010000010110
432001021002032020
5221311142444034
610525314314320
71041663621666
oct160111021610
942758100113
1015051531144
116424219141
122b008889a0
13155b41c360
14a2add9c36
155d15e2de9
hex381242388

15051531144 has 128 divisors (see below), whose sum is σ = 41687775360. Its totient is φ = 4499324928.

The previous prime is 15051531139. The next prime is 15051531163. The reversal of 15051531144 is 44113515051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586382 + ... + 2592194.

It is an arithmetic number, because the mean of its divisors is an integer number (325685745).

Almost surely, 215051531144 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 15051531144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843887680).

15051531144 is an abundant number, since it is smaller than the sum of its proper divisors (26636244216).

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

15051531144 is a wasteful number, since it uses less digits than its factorization.

15051531144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 15051531144 in words is "fifteen billion, fifty-one million, five hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 193 258 312 344 386 516 559 579 772 1032 1118 1158 1544 1677 2236 2316 2509 3354 4472 4632 5018 5813 6708 7527 8299 10036 11626 13416 15054 16598 17439 20072 23252 24897 30108 33196 34878 46504 49794 60216 66392 69756 75569 99588 107887 139512 151138 199176 215774 226707 249959 302276 323661 431548 453414 499918 604552 647322 749877 863096 906828 999836 1121909 1294644 1499754 1813656 1999672 2243818 2589288 2999508 3249467 3365727 4487636 5999016 6498934 6731454 8975272 9748401 12997868 13462908 14584817 19496802 25995736 26925816 29169634 38993604 43754451 48242087 58339268 77987208 87508902 96484174 116678536 144726261 175017804 192968348 289452522 350035608 385936696 578905044 627147131 1157810088 1254294262 1881441393 2508588524 3762882786 5017177048 7525765572 15051531144