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13296093888 = 2637115371239
BaseRepresentation
bin11000110001000001…
…00100101011000000
31021022121221112220210
430120200210223000
5204212300001023
610035205234120
7650326635060
oct143040445300
937277845823
1013296093888
115703331150
1226b0a02940
13133b83289c
14901c033a0
1552c43d593
hex318824ac0

13296093888 has 448 divisors, whose sum is σ = 45506396160. Its totient is φ = 3326668800.

The previous prime is 13296093859. The next prime is 13296093953. The reversal of 13296093888 is 88839069231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×132960938882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55632073 + ... + 55632311.

Almost surely, 213296093888 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 13296093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22753198080).

13296093888 is an abundant number, since it is smaller than the sum of its proper divisors (32210302272).

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

13296093888 is a wasteful number, since it uses less digits than its factorization.

13296093888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 13296093888 in words is "thirteen billion, two hundred ninety-six million, ninety-three thousand, eight hundred eighty-eight".