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13296476160 = 213335111093
BaseRepresentation
bin11000110001000100…
…00010000000000000
31021022122122222022000
430120202002000000
5204212344214120
610035221344000
7650333116422
oct143042020000
937278588260
1013296476160
115703572380
1226b0b68000
13133b937896
14901ca2812
1552c4b6990
hex318882000

13296476160 has 448 divisors, whose sum is σ = 51618245760. Its totient is φ = 3220439040.

The previous prime is 13296476147. The next prime is 13296476161. The reversal of 13296476160 is 6167469231.

13296476160 is a `hidden beast` number, since 1 + 3 + 29 + 6 + 4 + 7 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13296476161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12164574 + ... + 12165666.

Almost surely, 213296476160 is an apocalyptic number.

13296476160 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 13296476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809122880).

13296476160 is an abundant number, since it is smaller than the sum of its proper divisors (38321769600).

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

13296476160 is a wasteful number, since it uses less digits than its factorization.

13296476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13296476160 in words is "thirteen billion, two hundred ninety-six million, four hundred seventy-six thousand, one hundred sixty".