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13002936912 = 24337972457
BaseRepresentation
bin11000001110000100…
…10001001001010000
31020120012022122011000
430013002101021100
5203112222440122
65550134022000
7640140066030
oct140702211120
936505278130
1013002936912
115572900a59
12262a7a7900
1312c2b8c714
148b4cd18c0
155118320ac
hex307091250

13002936912 has 240 divisors, whose sum is σ = 43193723520. Its totient is φ = 3668779008.

The previous prime is 13002936901. The next prime is 13002936929. The reversal of 13002936912 is 21963920031.

It is a happy number.

13002936912 is a `hidden beast` number, since 1 + 300 + 293 + 69 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28452588 + ... + 28453044.

It is an arithmetic number, because the mean of its divisors is an integer number (179973848).

Almost surely, 213002936912 is an apocalyptic number.

13002936912 is a gapful number since it is divisible by the number (12) 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 13002936912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21596861760).

13002936912 is an abundant number, since it is smaller than the sum of its proper divisors (30190786608).

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

13002936912 is an equidigital number, since it uses as much as digits as its factorization.

13002936912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13002936912 in words is "thirteen billion, two million, nine hundred thirty-six thousand, nine hundred twelve".