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116960256000 = 21332537337
BaseRepresentation
bin110110011101101011…
…1111110000000000000
3102011220011100121122100
41230323113332000000
53404013311143000
6125421504110400
711310245526000
oct1547327760000
9364804317570
10116960256000
114566a0194a5
121a801905400
13b04c4c8993
145937756000
1530981b0a00
hex1b3b5fe000

116960256000 has 1344 divisors, whose sum is σ = 505015804800. Its totient is φ = 26011238400.

The previous prime is 116960255981. The next prime is 116960256043. The reversal of 116960256000 is 652069611.

116960256000 is a `hidden beast` number, since 1 + 1 + 6 + 96 + 0 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3161087982 + ... + 3161088018.

Almost surely, 2116960256000 is an apocalyptic number.

116960256000 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 116960256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252507902400).

116960256000 is an abundant number, since it is smaller than the sum of its proper divisors (388055548800).

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

116960256000 is an frugal number, since it uses more digits than its factorization.

116960256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

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

The spelling of 116960256000 in words is "one hundred sixteen billion, nine hundred sixty million, two hundred fifty-six thousand".