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118395809021952 = 214347211241367
BaseRepresentation
bin11010111010111000101100…
…001000111100000000000000
3120112012112021111102210220000
4122322320230020330000000
5111004244104102200302
61055450141144520000
733636546342643200
oct3272705410740000
9515175244383800
10118395809021952
11347a7420690a00
1211341a98a80000
13510a8a5166587
14213455dd18400
15da4b3017531c
hex6bae2c23c000

118395809021952 has 2700 divisors, whose sum is σ = 464564112056352. Its totient is φ = 29920355942400.

The previous prime is 118395809021947. The next prime is 118395809021957. The reversal of 118395809021952 is 259120908593811.

118395809021952 is a `hidden beast` number, since 1 + 1 + 8 + 39 + 580 + 9 + 0 + 2 + 19 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (118395809021947) and next prime (118395809021957).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 118395809021952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118395809021957) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 322604384073 + ... + 322604384439.

Almost surely, 2118395809021952 is an apocalyptic number.

118395809021952 is a gapful number since it is divisible by the number (12) 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 118395809021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232282056028176).

118395809021952 is an abundant number, since it is smaller than the sum of its proper divisors (346168303034400).

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

118395809021952 is an equidigital number, since it uses as much as digits as its factorization.

118395809021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 118395809021952 in words is "one hundred eighteen trillion, three hundred ninety-five billion, eight hundred nine million, twenty-one thousand, nine hundred fifty-two".