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168500255328 = 253229671272371
BaseRepresentation
bin1001110011101101100…
…1011101101001100000
3121002221001221212012100
42130323121131221200
510230042031132303
6205224041130400
715113410352466
oct2347331355140
9532831855170
10168500255328
1165508001869
12287a6489a00
1312b743240c2
1482267dc836
1545b2d518a3
hex273b65da60

168500255328 has 288 divisors, whose sum is σ = 507269468160. Its totient is φ = 52977576960.

The previous prime is 168500255323. The next prime is 168500255347. The reversal of 168500255328 is 823552005861.

168500255328 is a `hidden beast` number, since 1 + 68 + 50 + 0 + 2 + 5 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168500255323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71065983 + ... + 71068353.

It is an arithmetic number, because the mean of its divisors is an integer number (1761352320).

Almost surely, 2168500255328 is an apocalyptic number.

168500255328 is a gapful number since it is divisible by the number (18) 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 168500255328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253634734080).

168500255328 is an abundant number, since it is smaller than the sum of its proper divisors (338769212832).

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

168500255328 is a wasteful number, since it uses less digits than its factorization.

168500255328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 168500255328 in words is "one hundred sixty-eight billion, five hundred million, two hundred fifty-five thousand, three hundred twenty-eight".