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116895010800 = 243523125712227
BaseRepresentation
bin110110011011101111…
…1000100111111110000
3102011201121120211001110
41230313133010333300
53403400110321200
6125411213433320
711305524124521
oct1546737047760
9364647524043
10116895010800
1145636205847
121a7a3a9b840
13b03bb33459
14592cc10848
1530925c3b50
hex1b377c4ff0

116895010800 has 240 divisors, whose sum is σ = 388068590592. Its totient is φ = 30046617600.

The previous prime is 116895010777. The next prime is 116895010807. The reversal of 116895010800 is 8010598611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116895010807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9554287 + ... + 9566513.

Almost surely, 2116895010800 is an apocalyptic number.

116895010800 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 116895010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194034295296).

116895010800 is an abundant number, since it is smaller than the sum of its proper divisors (271173579792).

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

116895010800 is a wasteful number, since it uses less digits than its factorization.

116895010800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The spelling of 116895010800 in words is "one hundred sixteen billion, eight hundred ninety-five million, ten thousand, eight hundred".