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113916837888 = 21633717541
BaseRepresentation
bin110101000010111111…
…0010000000000000000
3101220001001121221212000
41222011332100000000
53331300202303023
6124155505104000
711141652100620
oct1520576200000
9356031557760
10113916837888
11443480a3417
121a0b2628000
13a985b21b69
14572948a880
152e6ade2243
hex1a85f90000

113916837888 has 544 divisors, whose sum is σ = 409193176320. Its totient is φ = 30576476160.

The previous prime is 113916837887. The next prime is 113916837929. The reversal of 113916837888 is 888738619311.

113916837888 is a `hidden beast` number, since 113 + 91 + 68 + 378 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113916837883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210566898 + ... + 210567438.

Almost surely, 2113916837888 is an apocalyptic number.

113916837888 is a gapful number since it is divisible by the number (18) 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 113916837888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204596588160).

113916837888 is an abundant number, since it is smaller than the sum of its proper divisors (295276338432).

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

113916837888 is an frugal number, since it uses more digits than its factorization.

113916837888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 570 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 113916837888 in words is "one hundred thirteen billion, nine hundred sixteen million, eight hundred thirty-seven thousand, eight hundred eighty-eight".