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13047920640 = 21134515731
BaseRepresentation
bin11000010011011011…
…10111100000000000
31020200022222001020000
430021231313200000
5203210231430030
65554422120000
7641224331646
oct141155674000
936608861200
1013047920640
115596235997
122641880000
1312cc2ac801
148bac81196
1551576a860
hex309b77800

13047920640 has 240 divisors, whose sum is σ = 46770764040. Its totient is φ = 3479224320.

The previous prime is 13047920617. The next prime is 13047920653. The reversal of 13047920640 is 4602974031.

13047920640 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 7 + 9 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 13047920595 and 13047920604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 821575 + ... + 837305.

Almost surely, 213047920640 is an apocalyptic number.

13047920640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13047920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385382020).

13047920640 is an abundant number, since it is smaller than the sum of its proper divisors (33722843400).

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

13047920640 is an equidigital number, since it uses as much as digits as its factorization.

13047920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13047920640 in words is "thirteen billion, forty-seven million, nine hundred twenty thousand, six hundred forty".