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115868041920 = 2633567200159
BaseRepresentation
bin110101111101001000…
…1100000001011000000
3102002002001011101121000
41223322101200023000
53344244204320140
6125121250132000
711241214051251
oct1537221401300
9362061141530
10115868041920
1145159541934
121a557b81000
13ac07142b67
145872682b28
153032366a30
hex1afa4602c0

115868041920 has 224 divisors, whose sum is σ = 414859622400. Its totient is φ = 30436826112.

The previous prime is 115868041897. The next prime is 115868042023. The reversal of 115868041920 is 29140868511.

It is a happy number.

115868041920 is a `hidden beast` number, since 1 + 1 + 586 + 8 + 0 + 41 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478801 + ... + 678959.

Almost surely, 2115868041920 is an apocalyptic number.

115868041920 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 115868041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207429811200).

115868041920 is an abundant number, since it is smaller than the sum of its proper divisors (298991580480).

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

115868041920 is a wasteful number, since it uses less digits than its factorization.

115868041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200252 (or 200236 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 115868041920 in words is "one hundred fifteen billion, eight hundred sixty-eight million, forty-one thousand, nine hundred twenty".