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13117095936 = 216347353
BaseRepresentation
bin11000011011101011…
…10000000000000000
31020212011010111220000
430031311300000000
5203330434032221
610005332520000
7643024322130
oct141565600000
936764114800
1013117095936
11562129335a
122660a80000
13131071cb39
148c612aac0
1551b881e26
hex30dd70000

13117095936 has 340 divisors, whose sum is σ = 44914361712. Its totient is φ = 3737124864.

The previous prime is 13117095919. The next prime is 13117095941. The reversal of 13117095936 is 63959071131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13117095891 and 13117095900.

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 19 ways as a sum of consecutive naturals, for example, 37158736 + ... + 37159088.

Almost surely, 213117095936 is an apocalyptic number.

13117095936 is a gapful number since it is divisible by the number (16) 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 13117095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457180856).

13117095936 is an abundant number, since it is smaller than the sum of its proper divisors (31797265776).

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

13117095936 is an frugal number, since it uses more digits than its factorization.

13117095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 13117095936 in words is "thirteen billion, one hundred seventeen million, ninety-five thousand, nine hundred thirty-six".