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13116650448960 = 2634583137191233
BaseRepresentation
bin1011111011011111010101…
…0010100110100001000000
31201102221100220220022120000
42332313311102212201000
53204400400003331320
643521412300320000
72522434553144022
oct276676522464100
951387326808500
1013116650448960
1141a7816256613
12157a117843000
13741b82c31506
14334bc6574012
1517b2da54cc90
hexbedf54a6840

13116650448960 has 1120 divisors, whose sum is σ = 48019297277952. Its totient is φ = 3397802065920.

The previous prime is 13116650448931. The next prime is 13116650448961. The reversal of 13116650448960 is 6984405661131.

13116650448960 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 6 + 504 + 48 + 96 + 0 = 666.

13116650448960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13116650448897 and 13116650448906.

It is not an unprimeable number, because it can be changed into a prime (13116650448961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56294637004 + ... + 56294637236.

Almost surely, 213116650448960 is an apocalyptic number.

13116650448960 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 13116650448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009648638976).

13116650448960 is an abundant number, since it is smaller than the sum of its proper divisors (34902646828992).

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

13116650448960 is a wasteful number, since it uses less digits than its factorization.

13116650448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13116650448960 in words is "thirteen trillion, one hundred sixteen billion, six hundred fifty million, four hundred forty-eight thousand, nine hundred sixty".