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117270768384 = 28347113607
BaseRepresentation
bin110110100110111100…
…0011110101100000000
3102012200210122021120000
41231031320132230000
53410132304042014
6125512355320000
711321036040630
oct1551570365400
9365623567500
10117270768384
1145809323000
121a8898b0000
13b09b937613
145966aa46c0
1530b5599509
hex1b4de1eb00

117270768384 has 720 divisors, whose sum is σ = 440292120576. Its totient is φ = 30409758720.

The previous prime is 117270768383. The next prime is 117270768389. The reversal of 117270768384 is 483867072711.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 117270768384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117270768383) 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, 193197009 + ... + 193197615.

Almost surely, 2117270768384 is an apocalyptic number.

117270768384 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 117270768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220146060288).

117270768384 is an abundant number, since it is smaller than the sum of its proper divisors (323021352192).

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

117270768384 is an frugal number, since it uses more digits than its factorization.

117270768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 117270768384 in words is "one hundred seventeen billion, two hundred seventy million, seven hundred sixty-eight thousand, three hundred eighty-four".