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116483295202560 = 283251113432696113
BaseRepresentation
bin11010011111000011100001…
…011011101100110100000000
3120021102200202010021102010100
4122133003201123230310000
5110231430242032440220
61051423404224202400
733351432433465146
oct3237034133546400
9507380663242110
10116483295202560
113412a319479520
12110932aba69400
134ccc434996ba0
1420a9b70559596
15d6eee79b8d90
hex69f0e16ecd00

116483295202560 has 1728 divisors, whose sum is σ = 486369866062080. Its totient is φ = 25361205166080.

The previous prime is 116483295202537. The next prime is 116483295202597. The reversal of 116483295202560 is 65202592384611.

116483295202560 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 8 + 3 + 29 + 52 + 0 + 2 + 560 = 666.

It is a super-2 number, since 2×1164832952025602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116483295202497 and 116483295202506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19055010064 + ... + 19055016176.

It is an arithmetic number, because the mean of its divisors is an integer number (281464042860).

Almost surely, 2116483295202560 is an apocalyptic number.

116483295202560 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 116483295202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243184933031040).

116483295202560 is an abundant number, since it is smaller than the sum of its proper divisors (369886570859520).

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

116483295202560 is a wasteful number, since it uses less digits than its factorization.

116483295202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 116483295202560 in words is "one hundred sixteen trillion, four hundred eighty-three billion, two hundred ninety-five million, two hundred two thousand, five hundred sixty".