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116449975368 = 233219298773347
BaseRepresentation
bin110110001110011110…
…1011001110001001000
3102010120121011200012200
41230130331121301020
53401442143202433
6125255115040200
711261511313236
oct1543475316110
9363517150180
10116449975368
1145427a80071
121a69aa40060
13ac9a88438c
1458c9a85956
1530684b6613
hex1b1cf59c48

116449975368 has 192 divisors, whose sum is σ = 343926648000. Its totient is φ = 35454537216.

The previous prime is 116449975351. The next prime is 116449975399. The reversal of 116449975368 is 863579944611.

116449975368 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 4 + 9 + 97 + 536 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 34790671 + ... + 34794017.

It is an arithmetic number, because the mean of its divisors is an integer number (1791284625).

Almost surely, 2116449975368 is an apocalyptic number.

116449975368 is a gapful number since it is divisible by the number (18) 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 116449975368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171963324000).

116449975368 is an abundant number, since it is smaller than the sum of its proper divisors (227476672632).

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

116449975368 is a wasteful number, since it uses less digits than its factorization.

116449975368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4277 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 116449975368 in words is "one hundred sixteen billion, four hundred forty-nine million, nine hundred seventy-five thousand, three hundred sixty-eight".