Search a number
-
+
116587330560 = 210345733851
BaseRepresentation
bin110110010010100100…
…1010111110000000000
3102010221011122001010000
41230211021113300000
53402232324034220
6125320503040000
711265066646551
oct1544511276000
9363834561100
10116587330560
1145498566058
121a718a40000
13acc017693c
1458ddddc328
153075599390
hex1b25257c00

116587330560 has 440 divisors, whose sum is σ = 423616103856. Its totient is φ = 30656102400.

The previous prime is 116587330553. The next prime is 116587330583. The reversal of 116587330560 is 65033785611.

116587330560 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 87 + 3 + 3 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30272635 + ... + 30276485.

Almost surely, 2116587330560 is an apocalyptic number.

116587330560 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 116587330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211808051928).

116587330560 is an abundant number, since it is smaller than the sum of its proper divisors (307028773296).

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

116587330560 is an equidigital number, since it uses as much as digits as its factorization.

116587330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 116587330560 in words is "one hundred sixteen billion, five hundred eighty-seven million, three hundred thirty thousand, five hundred sixty".