Search a number
-
+
117740324160 = 26325476071433
BaseRepresentation
bin110110110100111011…
…1101100010101000000
3102020220112012011222200
41231221313230111000
53412113010333120
6130031131433200
711335500146124
oct1555167542500
9366815164880
10117740324160
1145a2a386228
121a99abb5800
13b144cc0484
1459ad1b3584
1530e18ebe90
hex1b69dec540

117740324160 has 336 divisors, whose sum is σ = 414564673536. Its totient is φ = 30657355776.

The previous prime is 117740324153. The next prime is 117740324161. The reversal of 117740324160 is 61423047711.

117740324160 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 403 + 241 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117740324161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82162804 + ... + 82164236.

Almost surely, 2117740324160 is an apocalyptic number.

117740324160 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 117740324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207282336768).

117740324160 is an abundant number, since it is smaller than the sum of its proper divisors (296824349376).

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

117740324160 is a wasteful number, since it uses less digits than its factorization.

117740324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 117740324160 in words is "one hundred seventeen billion, seven hundred forty million, three hundred twenty-four thousand, one hundred sixty".