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116466255360 = 2932571324273
BaseRepresentation
bin110110001110111101…
…1100000011000000000
3102010121201210210011100
41230131323200120000
53402010330132420
6125300500014400
711262066556620
oct1543573403000
9363551723140
10116466255360
114543618a504
121a6a4391400
13aca1064500
1458cbcc2880
153069b30190
hex1b1dee0600

116466255360 has 720 divisors, whose sum is σ = 499281909984. Its totient is φ = 24567349248.

The previous prime is 116466255289. The next prime is 116466255371. The reversal of 116466255360 is 63552664611.

116466255360 is a `hidden beast` number, since 1 + 16 + 4 + 6 + 625 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27254184 + ... + 27258456.

Almost surely, 2116466255360 is an apocalyptic number.

116466255360 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 116466255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249640954992).

116466255360 is an abundant number, since it is smaller than the sum of its proper divisors (382815654624).

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

116466255360 is a wasteful number, since it uses less digits than its factorization.

116466255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 116466255360 in words is "one hundred sixteen billion, four hundred sixty-six million, two hundred fifty-five thousand, three hundred sixty".