Search a number
-
+
117237818880 = 2935571319109
BaseRepresentation
bin110110100101111101…
…0110010011000000000
3102012121111122021100000
41231023322302120000
53410100340201010
6125505221200000
711320156006140
oct1551372623000
9365544567300
10117237818880
11457a1768606
121a87a860000
13b094b6bc80
145962568920
1530b273b7c0
hex1b4beb2600

117237818880 has 1920 divisors, whose sum is σ = 550514764800. Its totient is φ = 23219011584.

The previous prime is 117237818843. The next prime is 117237818897. The reversal of 117237818880 is 88818732711.

117237818880 is a `hidden beast` number, since 1 + 17 + 2 + 378 + 188 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 1075576266 + ... + 1075576374.

It is an arithmetic number, because the mean of its divisors is an integer number (286726440).

Almost surely, 2117237818880 is an apocalyptic number.

117237818880 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 117237818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275257382400).

117237818880 is an abundant number, since it is smaller than the sum of its proper divisors (433276945920).

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

117237818880 is a wasteful number, since it uses less digits than its factorization.

117237818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 117237818880 in words is "one hundred seventeen billion, two hundred thirty-seven million, eight hundred eighteen thousand, eight hundred eighty".