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15142865864 = 2373117948731
BaseRepresentation
bin11100001101001010…
…11100101111001000
31110002022222021210212
432012211130233020
5222003033201424
610542340100252
71044153143660
oct160645345710
943068867725
1015142865864
116470831285
122b27394688
13157431a979
14a391b31a0
155d963510e
hex38695cbc8

15142865864 has 64 divisors (see below), whose sum is σ = 33683558400. Its totient is φ = 6245236800.

The previous prime is 15142865863. The next prime is 15142865867. The reversal of 15142865864 is 46856824151.

15142865864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15142865863) by changing a digit.

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, 286379 + ... + 335109.

It is an arithmetic number, because the mean of its divisors is an integer number (526305600).

Almost surely, 215142865864 is an apocalyptic number.

15142865864 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 15142865864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841779200).

15142865864 is an abundant number, since it is smaller than the sum of its proper divisors (18540692536).

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

15142865864 is a wasteful number, since it uses less digits than its factorization.

15142865864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48954 (or 48950 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The spelling of 15142865864 in words is "fifteen billion, one hundred forty-two million, eight hundred sixty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 179 217 248 358 434 716 868 1253 1432 1736 2506 5012 5549 10024 11098 22196 38843 44392 48731 77686 97462 155372 194924 310744 341117 389848 682234 1364468 1510661 2728936 3021322 6042644 8722849 10574627 12085288 17445698 21149254 34891396 42298508 61059943 69782792 84597016 122119886 244239772 270408319 488479544 540816638 1081633276 1892858233 2163266552 3785716466 7571432932 15142865864