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13293952056 = 23327211509673
BaseRepresentation
bin11000110000110000…
…11001110000111000
31021022110220201212200
430120120121300320
5204211222431211
610035051310200
7650302504500
oct143030316070
937273821780
1013293952056
1157020a8a40
1226b014b360
13133b262a28
14901806a00
1552c168b56
hex318619c38

13293952056 has 288 divisors, whose sum is σ = 45848041200. Its totient is φ = 3441070080.

The previous prime is 13293952027. The next prime is 13293952057. The reversal of 13293952056 is 65025939231.

13293952056 is a `hidden beast` number, since 1 + 32 + 93 + 9 + 520 + 5 + 6 = 666.

It is a super-2 number, since 2×132939520562 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13293952057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19752936 + ... + 19753608.

Almost surely, 213293952056 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 13293952056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924020600).

13293952056 is an abundant number, since it is smaller than the sum of its proper divisors (32554089144).

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

13293952056 is a wasteful number, since it uses less digits than its factorization.

13293952056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 13293952056 in words is "thirteen billion, two hundred ninety-three million, nine hundred fifty-two thousand, fifty-six".