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116235520416 = 25321117361321
BaseRepresentation
bin110110001000000101…
…1010100100110100000
3102010000122122020022200
41230100023110212200
53401022243123131
6125221534333200
711253265423161
oct1542013244640
9363018566280
10116235520416
1145327a14974
121a63b05a200
13ac65308862
1458a93bd768
1530547542e6
hex1b102d49a0

116235520416 has 72 divisors (see below), whose sum is σ = 330841598724. Its totient is φ = 38710379520.

The previous prime is 116235520399. The next prime is 116235520421. The reversal of 116235520416 is 614025532611.

116235520416 is a `hidden beast` number, since 1 + 1 + 6 + 235 + 5 + 2 + 0 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115189644816 + 1045875600 = 339396^2 + 32340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1162355204163 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141036 + ... + 502356.

Almost surely, 2116235520416 is an apocalyptic number.

116235520416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116235520416 is an abundant number, since it is smaller than the sum of its proper divisors (214606078308).

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

116235520416 is a wasteful number, since it uses less digits than its factorization.

116235520416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362454 (or 362443 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 116235520416 in words is "one hundred sixteen billion, two hundred thirty-five million, five hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1117 2234 3351 4468 6702 8936 10053 13404 17872 20106 26808 35744 40212 53616 80424 107232 160848 321696 361321 722642 1083963 1445284 2167926 2890568 3251889 4335852 5781136 6503778 8671704 11562272 13007556 17343408 26015112 34686816 52030224 104060448 403595557 807191114 1210786671 1614382228 2421573342 3228764456 3632360013 4843146684 6457528912 7264720026 9686293368 12915057824 14529440052 19372586736 29058880104 38745173472 58117760208 116235520416