Search a number
-
+
15138805152 = 253374262051
BaseRepresentation
bin11100001100101011…
…11101010110100000
31110002001022222120010
432012111331112200
5222001013231102
610542113044520
71044103502112
oct160625752640
943061288503
1015138805152
116469508419
122b25b56740
131573528593
14a388373b2
155d90d1d6c
hex38657d5a0

15138805152 has 48 divisors (see below), whose sum is σ = 40813409952. Its totient is φ = 4909881600.

The previous prime is 15138805141. The next prime is 15138805153. The reversal of 15138805152 is 25150883151.

It is a happy number.

15138805152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15138805152.

It is not an unprimeable number, because it can be changed into a prime (15138805153) 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 7 ways as a sum of consecutive naturals, for example, 2127474 + ... + 2134577.

It is an arithmetic number, because the mean of its divisors is an integer number (850279374).

Almost surely, 215138805152 is an apocalyptic number.

15138805152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15138805152 is an abundant number, since it is smaller than the sum of its proper divisors (25674604800).

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

15138805152 is a wasteful number, since it uses less digits than its factorization.

15138805152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262101 (or 4262093 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The spelling of 15138805152 in words is "fifteen billion, one hundred thirty-eight million, eight hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 4262051 8524102 12786153 17048204 25572306 34096408 51144612 68192816 102289224 136385632 157695887 204578448 315391774 409156896 473087661 630783548 946175322 1261567096 1892350644 2523134192 3784701288 5046268384 7569402576 15138805152