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15152504140 = 2251375699719
BaseRepresentation
bin11100001110010100…
…01101110101001100
31110010000002222001001
432013022031311030
5222013020113030
610543322430044
71044331105624
oct160712156514
943100088031
1015152504140
1164762146a4
122b2a662324
1315763139a7
14a3a5a1884
155da3dacca
hex38728dd4c

15152504140 has 48 divisors (see below), whose sum is σ = 32112158400. Its totient is φ = 6005568512.

The previous prime is 15152504053. The next prime is 15152504149. The reversal of 15152504140 is 4140525151.

15152504140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15152504099 and 15152504108.

It is not an unprimeable number, because it can be changed into a prime (15152504149) 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, 1554201 + ... + 1563919.

It is an arithmetic number, because the mean of its divisors is an integer number (669003300).

Almost surely, 215152504140 is an apocalyptic number.

15152504140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15152504140 is an abundant number, since it is smaller than the sum of its proper divisors (16959654260).

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

15152504140 is a wasteful number, since it uses less digits than its factorization.

15152504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 15152504140 in words is "fifteen billion, one hundred fifty-two million, five hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 569 685 1138 1370 2276 2740 2845 5690 9719 11380 19438 38876 48595 77953 97190 155906 194380 311812 389765 779530 1331503 1559060 2663006 5326012 5530111 6657515 11060222 13315030 22120444 26630060 27650555 55301110 110602220 757625207 1515250414 3030500828 3788126035 7576252070 15152504140