Search a number
-
+
15013555344 = 2432104260801
BaseRepresentation
bin11011111101110000…
…01010110010010000
31102202022122122010100
431332320022302100
5221221432232334
610521440332400
71041023054244
oct157670126220
942668578110
1015013555344
116404840387
122ab0014100
1315535b3c78
14a25d52424
155cd0e0c99
hex37ee0ac90

15013555344 has 30 divisors (see below), whose sum is σ = 42017103206. Its totient is φ = 5004518400.

The previous prime is 15013555339. The next prime is 15013555367. The reversal of 15013555344 is 44355531051.

15013555344 is a `hidden beast` number, since 1 + 50 + 13 + 5 + 553 + 44 = 666.

15013555344 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 only one way, i.e., 11728890000 + 3284665344 = 108300^2 + 57312^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15013555299 and 15013555308.

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 5 ways as a sum of consecutive naturals, for example, 52130257 + ... + 52130544.

Almost surely, 215013555344 is an apocalyptic number.

It is an amenable number.

15013555344 is an abundant number, since it is smaller than the sum of its proper divisors (27003547862).

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

15013555344 is a wasteful number, since it uses less digits than its factorization.

15013555344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104260815 (or 104260806 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 15013555344 in words is "fifteen billion, thirteen million, five hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 104260801 208521602 312782403 417043204 625564806 834086408 938347209 1251129612 1668172816 1876694418 2502259224 3753388836 5004518448 7506777672 15013555344