Search a number
-
+
113609773645704 = 233272172965319101
BaseRepresentation
bin11001110101001111010110…
…001100110111111110001000
3112220020222200110111202110100
4121311033112030313332020
5104342340304023130304
61041343335352445400
732634015046323600
oct3165172614677610
9486228613452410
10113609773645704
11332216a8471106
12108aa4033a9860
134b5148159526b
14200aa5715bc00
15d203b6d6e439
hex6753d6337f88

113609773645704 has 288 divisors, whose sum is σ = 392051782114200. Its totient is φ = 29497060454400.

The previous prime is 113609773645681. The next prime is 113609773645727. The reversal of 113609773645704 is 407546377906311.

113609773645704 is a `hidden beast` number, since 1 + 1 + 3 + 60 + 97 + 7 + 36 + 457 + 0 + 4 = 666.

113609773645704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113609773645681) and next prime (113609773645727).

It can be written as a sum of positive squares in 4 ways, for example, as 100198138049604 + 13411635596100 = 10009902^2 + 3662190^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30920247 + ... + 34398854.

Almost surely, 2113609773645704 is an apocalyptic number.

113609773645704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113609773645704 is an abundant number, since it is smaller than the sum of its proper divisors (278442008468496).

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

113609773645704 is a wasteful number, since it uses less digits than its factorization.

113609773645704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65319173 (or 65319159 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 113609773645704 in words is "one hundred thirteen trillion, six hundred nine billion, seven hundred seventy-three million, six hundred forty-five thousand, seven hundred four".