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13083910560 = 253457144223
BaseRepresentation
bin11000010111101110…
…01010000110100000
31020202211200112010000
430023313022012200
5203243440114220
610002145340000
7642142255560
oct141367120640
936684615100
1013083910560
115604587726
122651937600
1313068a1016
148c196cda0
155189c9390
hex30bdca1a0

13083910560 has 240 divisors, whose sum is σ = 52772138496. Its totient is φ = 2990587392.

The previous prime is 13083910519. The next prime is 13083910573. The reversal of 13083910560 is 6501938031.

It is a happy number.

13083910560 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 3 + 91 + 0 + 560 = 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18609 + ... + 162831.

Almost surely, 213083910560 is an apocalyptic number.

13083910560 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 13083910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26386069248).

13083910560 is an abundant number, since it is smaller than the sum of its proper divisors (39688227936).

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

13083910560 is a wasteful number, since it uses less digits than its factorization.

13083910560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144257 (or 144240 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13083910560 in words is "thirteen billion, eighty-three million, nine hundred ten thousand, five hundred sixty".