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15064009344 = 2736237019
BaseRepresentation
bin11100000011110001…
…01000101010000000
31102212211120222000000
432001320220222000
5221322341244334
610530442000000
71042204652406
oct160170505200
942784528000
1015064009344
1164302711aa
122b04aa6000
131560b9abc7
14a2c927476
155d275a299
hex381e28a80

15064009344 has 224 divisors, whose sum is σ = 46957903200. Its totient is φ = 4802333184.

The previous prime is 15064009333. The next prime is 15064009361. The reversal of 15064009344 is 44390046051.

15064009344 is a `hidden beast` number, since 1 + 5 + 0 + 640 + 0 + 9 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×150640093442 (a number of 21 digits) contains 22 as substring.

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 = 15064009299 and 15064009308.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2142667 + ... + 2149685.

Almost surely, 215064009344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15064009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478951600).

15064009344 is an abundant number, since it is smaller than the sum of its proper divisors (31893893856).

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

15064009344 is an frugal number, since it uses more digits than its factorization.

15064009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 15064009344 in words is "fifteen billion, sixty-four million, nine thousand, three hundred forty-four".