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116839326240 = 253257132107641
BaseRepresentation
bin110110011010000101…
…0101010001000100000
3102011120201210202012100
41230310022222020200
53403241331414430
6125401504130400
711304246613050
oct1546412521040
9364521722170
10116839326240
114560783214a
121a789306a00
13b030437800
145925677560
15308c774960
hex1b342aa220

116839326240 has 864 divisors, whose sum is σ = 498809840256. Its totient is φ = 24383324160.

The previous prime is 116839326221. The next prime is 116839326257. The reversal of 116839326240 is 42623938611.

116839326240 is a `hidden beast` number, since 1 + 1 + 6 + 83 + 9 + 326 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182276320 + ... + 182276960.

It is an arithmetic number, because the mean of its divisors is an integer number (577326204).

Almost surely, 2116839326240 is an apocalyptic number.

116839326240 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 116839326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249404920128).

116839326240 is an abundant number, since it is smaller than the sum of its proper divisors (381970514016).

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

116839326240 is a wasteful number, since it uses less digits than its factorization.

116839326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 116839326240 in words is "one hundred sixteen billion, eight hundred thirty-nine million, three hundred twenty-six thousand, two hundred forty".