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116538435720 = 23365719151199
BaseRepresentation
bin110110010001000111…
…0110110100010001000
3102010210202121221000000
41230202032312202020
53402132314420340
6125311555043000
711263634234160
oct1544216664210
9363722557000
10116538435720
11454729aa6a3
121a7045a0460
13acb2cb7595
1458d77115a0
15307113bd30
hex1b223b6888

116538435720 has 896 divisors, whose sum is σ = 478471680000. Its totient is φ = 24942297600.

The previous prime is 116538435667. The next prime is 116538435731. The reversal of 116538435720 is 27534835611.

It is a happy number.

116538435720 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 38 + 43 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 585620181 + ... + 585620379.

Almost surely, 2116538435720 is an apocalyptic number.

116538435720 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 116538435720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239235840000).

116538435720 is an abundant number, since it is smaller than the sum of its proper divisors (361933244280).

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

116538435720 is a wasteful number, since it uses less digits than its factorization.

116538435720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 116538435720 in words is "one hundred sixteen billion, five hundred thirty-eight million, four hundred thirty-five thousand, seven hundred twenty".