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118316814336 = 2123272173853
BaseRepresentation
bin110111000110000111…
…0110101000000000000
3102022101200221220211200
41232030032311000000
53414303101024321
6130204243541200
711356000220400
oct1561416650000
9368350856750
10118316814336
11461a5836896
121ab2008a800
13b207577216
145a2599a800
153127323d26
hex1b8c3b5000

118316814336 has 468 divisors, whose sum is σ = 421055504532. Its totient is φ = 31808028672.

The previous prime is 118316814313. The next prime is 118316814347. The reversal of 118316814336 is 633418613811.

It can be written as a sum of positive squares in 2 ways, for example, as 108425318400 + 9891495936 = 329280^2 + 99456^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 118316814291 and 118316814300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30705786 + ... + 30709638.

It is an arithmetic number, because the mean of its divisors is an integer number (899691249).

Almost surely, 2118316814336 is an apocalyptic number.

118316814336 is a gapful number since it is divisible by the number (16) 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 118316814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210527752266).

118316814336 is an abundant number, since it is smaller than the sum of its proper divisors (302738690196).

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

118316814336 is a wasteful number, since it uses less digits than its factorization.

118316814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3882 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 118316814336 in words is "one hundred eighteen billion, three hundred sixteen million, eight hundred fourteen thousand, three hundred thirty-six".