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116680091760 = 24345291274889
BaseRepresentation
bin110110010101010101…
…1001110100001110000
3102011011122011210120000
41230222223032201300
53402430100414020
6125334015150000
711300304262431
oct1545253164160
9364148153500
10116680091760
1145535962a01
121a743b15300
13b00645461b
14590c467488
15307d7be090
hex1b2aace870

116680091760 has 400 divisors, whose sum is σ = 422608665600. Its totient is φ = 29799124992.

The previous prime is 116680091747. The next prime is 116680091761. The reversal of 116680091760 is 67190086611.

It is a super-2 number, since 2×1166800917602 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116680091761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23863396 + ... + 23868284.

It is an arithmetic number, because the mean of its divisors is an integer number (1056521664).

Almost surely, 2116680091760 is an apocalyptic number.

116680091760 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 116680091760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211304332800).

116680091760 is an abundant number, since it is smaller than the sum of its proper divisors (305928573840).

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

116680091760 is a wasteful number, since it uses less digits than its factorization.

116680091760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 116680091760 in words is "one hundred sixteen billion, six hundred eighty million, ninety-one thousand, seven hundred sixty".