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15142865872 = 2417413074423
BaseRepresentation
bin11100001101001010…
…11100101111010000
31110002022222021211011
432012211130233100
5222003033201442
610542340100304
71044153144001
oct160645345720
943068867734
1015142865872
116470831292
122b27394694
13157431a984
14a391b31a8
155d9635117
hex38695cbd0

15142865872 has 80 divisors (see below), whose sum is σ = 31933706112. Its totient is φ = 6928035840.

The previous prime is 15142865869. The next prime is 15142865891. The reversal of 15142865872 is 27856824151.

15142865872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3421453 + ... + 3425875.

Almost surely, 215142865872 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 15142865872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966853056).

15142865872 is an abundant number, since it is smaller than the sum of its proper divisors (16790840240).

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

15142865872 is a wasteful number, since it uses less digits than its factorization.

15142865872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4790 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 49.

The spelling of 15142865872 in words is "fifteen billion, one hundred forty-two million, eight hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 307 328 614 656 697 1228 1394 2456 2788 4423 4912 5219 5576 8846 10438 11152 12587 17692 20876 25174 35384 41752 50348 70768 75191 83504 100696 150382 181343 201392 213979 300764 362686 427958 601528 725372 855916 1203056 1357861 1450744 1711832 2715722 2901488 3082831 3423664 5431444 6165662 10862888 12331324 21725776 23083637 24662648 46167274 49325296 55672301 92334548 111344602 184669096 222689204 369338192 445378408 890756816 946429117 1892858234 3785716468 7571432936 15142865872