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117670724304 = 243717219234759
BaseRepresentation
bin110110110010110111…
…0001100001011010000
3102020201200020010221020
41231211232030023100
53411442201134204
6130020203555440
711333663440110
oct1554556141320
9366650203836
10117670724304
11459a4068891
121a97b82bb80
13b133761b23
1459a3c57040
1530da74ebd9
hex1b65b8c2d0

117670724304 has 960 divisors, whose sum is σ = 421001625600. Its totient is φ = 27588059136.

The previous prime is 117670724293. The next prime is 117670724309. The reversal of 117670724304 is 403427076711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117670724309) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1994419027 + ... + 1994419085.

It is an arithmetic number, because the mean of its divisors is an integer number (438543360).

Almost surely, 2117670724304 is an apocalyptic number.

117670724304 is a gapful number since it is divisible by the number (14) 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 117670724304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210500812800).

117670724304 is an abundant number, since it is smaller than the sum of its proper divisors (303330901296).

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

117670724304 is a wasteful number, since it uses less digits than its factorization.

117670724304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 117670724304 in words is "one hundred seventeen billion, six hundred seventy million, seven hundred twenty-four thousand, three hundred four".