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116266106880 = 225325711
BaseRepresentation
bin110110001001000000…
…0000000000000000000
3102010002210012012001200
41230102000000000000
53401103110410010
6125224550101200
711254116413430
oct1542200000000
9363083165050
10116266106880
1145343205a40
121a64934a800
13ac6b757761
1458ad4a22c0
153057296cc0
hex1b12000000

116266106880 has 624 divisors, whose sum is σ = 502511166144. Its totient is φ = 24159191040.

The previous prime is 116266106863. The next prime is 116266106909. The reversal of 116266106880 is 88601662611.

116266106880 is a `hidden beast` number, since 1 + 1 + 6 + 26 + 610 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10569646075 + ... + 10569646085.

It is an arithmetic number, because the mean of its divisors is an integer number (805306356).

Almost surely, 2116266106880 is an apocalyptic number.

116266106880 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 116266106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251255583072).

116266106880 is an abundant number, since it is smaller than the sum of its proper divisors (386245059264).

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

116266106880 is an frugal number, since it uses more digits than its factorization.

116266106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 116266106880 in words is "one hundred sixteen billion, two hundred sixty-six million, one hundred six thousand, eight hundred eighty".