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116762196096 = 273271329193199
BaseRepresentation
bin110110010111110010…
…0011011100010000000
3102011101100200010112100
41230233210123202000
53403112110233341
6125350111030400
711302322201610
oct1545744334200
9364340603470
10116762196096
1145578241127
121a76750b400
13b01a470780
14591931aa40
153085adb3b6
hex1b2f91b880

116762196096 has 768 divisors, whose sum is σ = 432169920000. Its totient is φ = 29429858304.

The previous prime is 116762196049. The next prime is 116762196119. The reversal of 116762196096 is 690691267611.

It is a happy number.

116762196096 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 6 + 21 + 9 + 609 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586744605 + ... + 586744803.

It is an arithmetic number, because the mean of its divisors is an integer number (562721250).

Almost surely, 2116762196096 is an apocalyptic number.

116762196096 is a gapful number since it is divisible by the number (16) 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 116762196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216084960000).

116762196096 is an abundant number, since it is smaller than the sum of its proper divisors (315407723904).

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

116762196096 is a wasteful number, since it uses less digits than its factorization.

116762196096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 116762196096 in words is "one hundred sixteen billion, seven hundred sixty-two million, one hundred ninety-six thousand, ninety-six".