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116729369568 = 253672176007
BaseRepresentation
bin110110010110110011…
…1001101001111100000
3102011022001220101000000
41230231213031033200
53403030204311233
6125342535300000
711301443161500
oct1545547151740
9364261811000
10116729369568
1145560760069
121a75851a600
13b0137190a6
145914c13a00
153082ca4d13
hex1b2d9cd3e0

116729369568 has 504 divisors, whose sum is σ = 424461198672. Its totient is φ = 31384184832.

The previous prime is 116729369503. The next prime is 116729369591. The reversal of 116729369568 is 865963927611.

116729369568 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 2 + 9 + 3 + 69 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19429221 + ... + 19435227.

It is an arithmetic number, because the mean of its divisors is an integer number (842184918).

Almost surely, 2116729369568 is an apocalyptic number.

116729369568 is a gapful number since it is divisible by the number (18) 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 116729369568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212230599336).

116729369568 is an abundant number, since it is smaller than the sum of its proper divisors (307731829104).

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

116729369568 is an equidigital number, since it uses as much as digits as its factorization.

116729369568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6036 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 116729369568 in words is "one hundred sixteen billion, seven hundred twenty-nine million, three hundred sixty-nine thousand, five hundred sixty-eight".