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256428183060 = 223257292892719
BaseRepresentation
bin1110111011010001001…
…1111000111000010100
3220111212220212101112100
43232310103320320110
513200131103324220
6313445041522100
724345346410150
oct3566423707024
9814786771470
10256428183060
119982902a335
1241845343330
131b247a861ca
14c5a8440060
156a0c330d90
hex3bb44f8e14

256428183060 has 432 divisors, whose sum is σ = 931348454400. Its totient is φ = 55934613504.

The previous prime is 256428183047. The next prime is 256428183061. The reversal of 256428183060 is 60381824652.

256428183060 is a `hidden beast` number, since 2 + 5 + 64 + 281 + 8 + 306 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 256428182997 and 256428183015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256428183061) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94308381 + ... + 94311099.

It is an arithmetic number, because the mean of its divisors is an integer number (2155899200).

Almost surely, 2256428183060 is an apocalyptic number.

256428183060 is a gapful number since it is divisible by the number (20) 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 256428183060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465674227200).

256428183060 is an abundant number, since it is smaller than the sum of its proper divisors (674920271340).

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

256428183060 is a wasteful number, since it uses less digits than its factorization.

256428183060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 256428183060 in words is "two hundred fifty-six billion, four hundred twenty-eight million, one hundred eighty-three thousand, sixty".