Search a number
-
+
116103564090 = 23251290039601
BaseRepresentation
bin110110000100001001…
…1111100101100111010
3102002200110100011021100
41230020103330230322
53400240003022330
6125200502152230
711250104003643
oct1541023745472
9362613304240
10116103564090
114526a487158
121a602a22676
13ac43b867a7
145895a706ca
153047d8b060
hex1b084fcb3a

116103564090 has 24 divisors (see below), whose sum is σ = 301869266868. Its totient is φ = 30960950400.

The previous prime is 116103564001. The next prime is 116103564113. The reversal of 116103564090 is 90465301611.

116103564090 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 3 + 5 + 640 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96684305481 + 19419258609 = 310941^2 + 139353^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645019711 + ... + 645019890.

Almost surely, 2116103564090 is an apocalyptic number.

116103564090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116103564090 is an abundant number, since it is smaller than the sum of its proper divisors (185765702778).

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

116103564090 is a wasteful number, since it uses less digits than its factorization.

116103564090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290039614 (or 1290039611 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 116103564090 in words is "one hundred sixteen billion, one hundred three million, five hundred sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1290039601 2580079202 3870118803 6450198005 7740237606 11610356409 12900396010 19350594015 23220712818 38701188030 58051782045 116103564090