Search a number
-
+
117709163787072 = 263111319534257391
BaseRepresentation
bin11010110000111001001100…
…111001001111001101000000
3120102202212221000021202212110
4122300321030321033031000
5110412021331412141242
61054202502054255320
733536130544516014
oct3260711471171500
9512685830252773
10117709163787072
11345621a3316a80
12112509a8957540
13508ac07732420
14210d22252a544
15d91d4374a39c
hex6b0e4ce4f340

117709163787072 has 448 divisors, whose sum is σ = 392410291875840. Its totient is φ = 30604162867200.

The previous prime is 117709163786959. The next prime is 117709163787097. The reversal of 117709163787072 is 270787361907711.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 117709163786994 and 117709163787012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25519497 + ... + 29776887.

It is an arithmetic number, because the mean of its divisors is an integer number (875915830080).

Almost surely, 2117709163787072 is an apocalyptic number.

117709163787072 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 117709163787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196205145937920).

117709163787072 is an abundant number, since it is smaller than the sum of its proper divisors (274701128088768).

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

117709163787072 is a wasteful number, since it uses less digits than its factorization.

117709163787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257502 (or 4257492 counting only the distinct ones).

The product of its (nonzero) digits is 43563744, while the sum is 66.

The spelling of 117709163787072 in words is "one hundred seventeen trillion, seven hundred nine billion, one hundred sixty-three million, seven hundred eighty-seven thousand, seventy-two".