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116589597120 = 263251392271283
BaseRepresentation
bin110110010010101001…
…0000001000111000000
3102010221022220012020200
41230211102001013000
53402233414101440
6125321023405200
711265125136603
oct1544522010700
9363838805220
10116589597120
1145499873a47
121a719753800
13acc078b4b9
14590042c33a
153075895c30
hex1b254811c0

116589597120 has 336 divisors, whose sum is σ = 406000183680. Its totient is φ = 30706956288.

The previous prime is 116589597119. The next prime is 116589597133. The reversal of 116589597120 is 21795985611.

It is a happy number.

116589597120 is a `hidden beast` number, since 1 + 1 + 6 + 589 + 59 + 7 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90871999 + ... + 90873281.

It is an arithmetic number, because the mean of its divisors is an integer number (1208333880).

Almost surely, 2116589597120 is an apocalyptic number.

116589597120 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 116589597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203000091840).

116589597120 is an abundant number, since it is smaller than the sum of its proper divisors (289410586560).

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

116589597120 is a wasteful number, since it uses less digits than its factorization.

116589597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 116589597120 in words is "one hundred sixteen billion, five hundred eighty-nine million, five hundred ninety-seven thousand, one hundred twenty".