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118972800000 = 210375517
BaseRepresentation
bin110111011001101010…
…1001101110000000000
3102101002102022110000000
41232303111031300000
53422124014100000
6130353320000000
711411154054135
oct1566325156000
9371072273000
10118972800000
11465020535aa
121b083900000
13b2b0445812
145a88b5858c
153164c00000
hex1bb354dc00

118972800000 has 1056 divisors, whose sum is σ = 472059161280. Its totient is φ = 29859840000.

The previous prime is 118972799993. The next prime is 118972800013. The reversal of 118972800000 is 8279811.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6998399992 + ... + 6998400008.

Almost surely, 2118972800000 is an apocalyptic number.

118972800000 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 118972800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236029580640).

118972800000 is an abundant number, since it is smaller than the sum of its proper divisors (353086361280).

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

118972800000 is an frugal number, since it uses more digits than its factorization.

118972800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 118972800000 in words is "one hundred eighteen billion, nine hundred seventy-two million, eight hundred thousand".