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117318684672 = 2123274397109
BaseRepresentation
bin110110101000010111…
…1010001000000000000
3102012211010210200100100
41231100233101000000
53410232040402142
6125521230322400
711322160236360
oct1552057210000
9365733720310
10117318684672
1145833380242
121a8a1959400
13b0a8843457
14596d1b89a0
1530b98b1b4c
hex1b50bd1000

117318684672 has 624 divisors, whose sum is σ = 404056132480. Its totient is φ = 32105299968.

The previous prime is 117318684619. The next prime is 117318684673. The reversal of 117318684672 is 276486813711.

117318684672 is a `hidden beast` number, since 1 + 173 + 1 + 8 + 6 + 8 + 467 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (117318684673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076318154 + ... + 1076318262.

Almost surely, 2117318684672 is an apocalyptic number.

117318684672 is a gapful number since it is divisible by the number (12) 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 117318684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202028066240).

117318684672 is an abundant number, since it is smaller than the sum of its proper divisors (286737447808).

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

117318684672 is a wasteful number, since it uses less digits than its factorization.

117318684672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 117318684672 in words is "one hundred seventeen billion, three hundred eighteen million, six hundred eighty-four thousand, six hundred seventy-two".