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118416049920 = 28325721961181
BaseRepresentation
bin110111001001000100…
…1011000011100000000
3102022122121200121110200
41232102021120130000
53420004002044140
6130222150525200
711361313550100
oct1562211303400
9368577617420
10118416049920
1146246855a73
121ab49366800
13b221cb0abc
145a34c2d200
153130dc7030
hex1b92258700

118416049920 has 1296 divisors, whose sum is σ = 512723746080. Its totient is φ = 25082265600.

The previous prime is 118416049891. The next prime is 118416049957. The reversal of 118416049920 is 29940614811.

It is a happy number.

118416049920 is a `hidden beast` number, since 1 + 1 + 84 + 1 + 60 + 499 + 20 = 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 143 ways as a sum of consecutive naturals, for example, 654232230 + ... + 654232410.

Almost surely, 2118416049920 is an apocalyptic number.

118416049920 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 118416049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256361873040).

118416049920 is an abundant number, since it is smaller than the sum of its proper divisors (394307696160).

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

118416049920 is a wasteful number, since it uses less digits than its factorization.

118416049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 118416049920 in words is "one hundred eighteen billion, four hundred sixteen million, forty-nine thousand, nine hundred twenty".