Search a number
-
+
15010079136 = 2531312027307
BaseRepresentation
bin11011111101010101…
…11010000110100000
31102202002010000122220
431332222322012200
5221220040013021
610521234031040
71040651365443
oct157652720640
942662100586
1015010079136
116402886688
122aaaa18480
131552967940
14a256c965a
155ccb55cc6
hex37eaba1a0

15010079136 has 48 divisors (see below), whose sum is σ = 42432342624. Its totient is φ = 4618485504.

The previous prime is 15010079129. The next prime is 15010079137. The reversal of 15010079136 is 63197001051.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 15010079097 and 15010079106.

It is not an unprimeable number, because it can be changed into a prime (15010079137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6012406 + ... + 6014901.

It is an arithmetic number, because the mean of its divisors is an integer number (884007138).

Almost surely, 215010079136 is an apocalyptic number.

15010079136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15010079136 is an abundant number, since it is smaller than the sum of its proper divisors (27422263488).

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

15010079136 is a wasteful number, since it uses less digits than its factorization.

15010079136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027333 (or 12027325 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The spelling of 15010079136 in words is "fifteen billion, ten million, seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 12027307 24054614 36081921 48109228 72163842 96218456 144327684 156354991 192436912 288655368 312709982 384873824 469064973 577310736 625419964 938129946 1154621472 1250839928 1876259892 2501679856 3752519784 5003359712 7505039568 15010079136