Search a number
-
+
15181928010 = 23652082569
BaseRepresentation
bin11100010001110100…
…11101011001001010
31110012001110212000000
432020322131121022
5222043033144020
610550253223430
71045136154534
oct161072353112
943161425000
1015181928010
116490891247
122b38491b76
13157c446672
14a40460854
155dcc9e090
hex388e9d64a

15181928010 has 56 divisors (see below), whose sum is σ = 40972482180. Its totient is φ = 4048512192.

The previous prime is 15181928009. The next prime is 15181928053. The reversal of 15181928010 is 1082918151.

15181928010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15151886649 + 30041361 = 123093^2 + 5481^2 .

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 27 ways as a sum of consecutive naturals, for example, 1033995 + ... + 1048574.

Almost surely, 215181928010 is an apocalyptic number.

15181928010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15181928010 is an abundant number, since it is smaller than the sum of its proper divisors (25790554170).

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

15181928010 is an equidigital number, since it uses as much as digits as its factorization.

15181928010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082594 (or 2082579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 15181928010 in words is "fifteen billion, one hundred eighty-one million, nine hundred twenty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 2082569 4165138 6247707 10412845 12495414 18743121 20825690 31238535 37486242 56229363 62477070 93715605 112458726 168688089 187431210 281146815 337376178 506064267 562293630 843440445 1012128534 1518192801 1686880890 2530321335 3036385602 5060642670 7590964005 15181928010