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118020291840 = 2834511103483
BaseRepresentation
bin110110111101010001…
…1101011110100000000
3102021122001000000110000
41231322203223310000
53413201143314330
6130115012240000
711345436633333
oct1557243536400
9367561000400
10118020291840
1146063418080
121aa58910000
13b18acc6219
1459d845061a
15310b2a0560
hex1b7a8ebd00

118020291840 has 360 divisors, whose sum is σ = 460693382688. Its totient is φ = 28610703360.

The previous prime is 118020291821. The next prime is 118020291869. The reversal of 118020291840 is 48192020811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 118020291795 and 118020291804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1088739 + ... + 1192221.

Almost surely, 2118020291840 is an apocalyptic number.

118020291840 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 118020291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230346691344).

118020291840 is an abundant number, since it is smaller than the sum of its proper divisors (342673090848).

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

118020291840 is a wasteful number, since it uses less digits than its factorization.

118020291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103527 (or 103504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 118020291840 in words is "one hundred eighteen billion, twenty million, two hundred ninety-one thousand, eight hundred forty".