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116684789760 = 211365721129
BaseRepresentation
bin110110010101011110…
…1001001100000000000
3102011011222000111000000
41230222331021200000
53402432301233020
6125334304000000
711300362230300
oct1545275114000
9364158014000
10116684789760
1145538581650
121a745600000
13b00740aac6
14590cd2b600
15307ddeb090
hex1b2af49800

116684789760 has 2016 divisors, whose sum is σ = 551064805200. Its totient is φ = 23410114560.

The previous prime is 116684789729. The next prime is 116684789761. The reversal of 116684789760 is 67987486611.

116684789760 is a `hidden beast` number, since 1 + 16 + 6 + 8 + 478 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1166847897602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116684789761) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4023613426 + ... + 4023613454.

Almost surely, 2116684789760 is an apocalyptic number.

116684789760 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 116684789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275532402600).

116684789760 is an abundant number, since it is smaller than the sum of its proper divisors (434380015440).

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

116684789760 is an equidigital number, since it uses as much as digits as its factorization.

116684789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 116684789760 in words is "one hundred sixteen billion, six hundred eighty-four million, seven hundred eighty-nine thousand, seven hundred sixty".