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112419480619152 = 24337176113122089
BaseRepresentation
bin11001100011111010110011…
…001101010100100010010000
3112202001012022220011222202000
4121203322303031110202100
5104213340044014303102
61035032444010154000
732452016346455640
oct3143726315244220
9482035286158660
10112419480619152
113290291a048923
1210737794722900
134a9615b06c035
141da91bbcba520
15cee44e45e01c
hex663eb3354890

112419480619152 has 960 divisors, whose sum is σ = 400122058406400. Its totient is φ = 29493758361600.

The previous prime is 112419480619123. The next prime is 112419480619217. The reversal of 112419480619152 is 251916084914211.

112419480619152 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 9 + 4 + 8 + 0 + 619 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53814972924 + ... + 53814975012.

It is an arithmetic number, because the mean of its divisors is an integer number (416793810840).

Almost surely, 2112419480619152 is an apocalyptic number.

112419480619152 is a gapful number since it is divisible by the number (12) 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 112419480619152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200061029203200).

112419480619152 is an abundant number, since it is smaller than the sum of its proper divisors (287702577787248).

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

112419480619152 is a wasteful number, since it uses less digits than its factorization.

112419480619152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 112419480619152 in words is "one hundred twelve trillion, four hundred nineteen billion, four hundred eighty million, six hundred nineteen thousand, one hundred fifty-two".