Search a number
-
+
117884452999680 = 2935519292391439
BaseRepresentation
bin11010110011011100011100…
…111100100001001000000000
3120110101122101012212101200000
4122303130130330201020000
5110422404324431442210
61054415211534400000
733554604432322053
oct3263343474411000
9513348335771600
10117884452999680
113461a574527934
121127a968960000
1350a15c1409ac3
1421178d082aa9a
15d966a25c9ac0
hex6b371cf21200

117884452999680 has 1920 divisors, whose sum is σ = 463290347520000. Its totient is φ = 28614183026688.

The previous prime is 117884452999673. The next prime is 117884452999697. The reversal of 117884452999680 is 86999254488711.

117884452999680 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 8 + 4 + 4 + 529 + 9 + 9 + 6 + 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 117884452999680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81921092401 + ... + 81921093839.

It is an arithmetic number, because the mean of its divisors is an integer number (241297056000).

Almost surely, 2117884452999680 is an apocalyptic number.

117884452999680 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 117884452999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231645173760000).

117884452999680 is an abundant number, since it is smaller than the sum of its proper divisors (345405894520320).

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

117884452999680 is a wasteful number, since it uses less digits than its factorization.

117884452999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

The spelling of 117884452999680 in words is "one hundred seventeen trillion, eight hundred eighty-four billion, four hundred fifty-two million, nine hundred ninety-nine thousand, six hundred eighty".