Search a number
-
+
117743783360 = 2657314347839
BaseRepresentation
bin110110110101000010…
…0111000110111000000
3102020220202200221010012
41231222010320313000
53412114402031420
6130031333524052
711335541434220
oct1555204706700
9366822627105
10117743783360
1145a31329175
121a9a01a3628
13b145931b38
1459ad834080
1530e1d81dc5
hex1b6a138dc0

117743783360 has 448 divisors, whose sum is σ = 346073333760. Its totient is φ = 37302128640.

The previous prime is 117743783357. The next prime is 117743783383. The reversal of 117743783360 is 63387347711.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1177437833602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117743783299 and 117743783308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140337821 + ... + 140338659.

It is an arithmetic number, because the mean of its divisors is an integer number (772485120).

Almost surely, 2117743783360 is an apocalyptic number.

117743783360 is a gapful number since it is divisible by the number (10) 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 117743783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173036666880).

117743783360 is an abundant number, since it is smaller than the sum of its proper divisors (228329550400).

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

117743783360 is a wasteful number, since it uses less digits than its factorization.

117743783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 117743783360 in words is "one hundred seventeen billion, seven hundred forty-three million, seven hundred eighty-three thousand, three hundred sixty".