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116641373760 = 2634517318539
BaseRepresentation
bin110110010100001011…
…1100001111001000000
3102011001221022201110000
41230220113201321000
53402340142430020
6125330113240000
711266324214112
oct1545027417100
9364057281400
10116641373760
114551601855a
121a732b63000
13accb419472
1459072693b2
15307a1c2090
hex1b285e1e40

116641373760 has 560 divisors, whose sum is σ = 453545326080. Its totient is φ = 28327034880.

The previous prime is 116641373759. The next prime is 116641373801. The reversal of 116641373760 is 67373146611.

116641373760 is a `hidden beast` number, since 1 + 166 + 413 + 7 + 3 + 76 + 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 79 ways as a sum of consecutive naturals, for example, 13655571 + ... + 13664109.

It is an arithmetic number, because the mean of its divisors is an integer number (809902368).

Almost surely, 2116641373760 is an apocalyptic number.

116641373760 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 116641373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226772663040).

116641373760 is an abundant number, since it is smaller than the sum of its proper divisors (336903952320).

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

116641373760 is a wasteful number, since it uses less digits than its factorization.

116641373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 116641373760 in words is "one hundred sixteen billion, six hundred forty-one million, three hundred seventy-three thousand, seven hundred sixty".