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118020913920 = 2834572131787
BaseRepresentation
bin110110111101010011…
…0000011101100000000
3102021122002011121210000
41231322212003230000
53413201323221140
6130115033440000
711345445134100
oct1557246035400
9367562147700
10118020913920
1146063802498
121aa58b70000
13b18b183410
1459d8573200
15310b374a30
hex1b7a983b00

118020913920 has 1080 divisors, whose sum is σ = 529331728464. Its totient is φ = 24887181312.

The previous prime is 118020913919. The next prime is 118020913921. The reversal of 118020913920 is 29319020811.

118020913920 is a `hidden beast` number, since 1 + 180 + 2 + 0 + 91 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (118020913919) and next prime (118020913921).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×1180209139203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (118020913921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66043267 + ... + 66045053.

Almost surely, 2118020913920 is an apocalyptic number.

118020913920 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 118020913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264665864232).

118020913920 is an abundant number, since it is smaller than the sum of its proper divisors (411310814544).

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

118020913920 is a wasteful number, since it uses less digits than its factorization.

118020913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 118020913920 in words is "one hundred eighteen billion, twenty million, nine hundred thirteen thousand, nine hundred twenty".