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116112015290880 = 29325721926920123
BaseRepresentation
bin11010011001101001101111…
…011011001111001000000000
3120020010012101222121200202100
4122121221233123033020000
5110204334401403302010
61050541042355150400
733312546660350100
oct3231515733171000
9506105358550670
10116112015290880
1133aa6913663604
1211033352ba5400
134ca34154ca35b
142095bcc82d200
15d655176762c0
hex699a6f6cf200

116112015290880 has 1440 divisors, whose sum is σ = 494257377556800. Its totient is φ = 25048339513344.

The previous prime is 116112015290863. The next prime is 116112015290893. The reversal of 116112015290880 is 88092510211611.

116112015290880 is a `hidden beast` number, since 1 + 1 + 6 + 112 + 0 + 1 + 529 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1161120152908802 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5770104499 + ... + 5770124621.

It is an arithmetic number, because the mean of its divisors is an integer number (343234289970).

Almost surely, 2116112015290880 is an apocalyptic number.

116112015290880 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 116112015290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247128688778400).

116112015290880 is an abundant number, since it is smaller than the sum of its proper divisors (378145362265920).

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

116112015290880 is a wasteful number, since it uses less digits than its factorization.

116112015290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20454 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

The spelling of 116112015290880 in words is "one hundred sixteen trillion, one hundred twelve billion, fifteen million, two hundred ninety thousand, eight hundred eighty".