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256373850096 = 243271347547761
BaseRepresentation
bin1110111011000100010…
…0100111111111110000
3220111202010121222201100
43232301010213333300
513200023201200341
6313435421204400
724344116525050
oct3566104477760
9814663558640
10256373850096
119980039a161
124182b100700
131b239741820
14c5a1139560
156a0769c3b6
hex3bb1127ff0

256373850096 has 480 divisors, whose sum is σ = 904690096128. Its totient is φ = 65968680960.

The previous prime is 256373850071. The next prime is 256373850097. The reversal of 256373850096 is 690058373652.

It is a happy number.

256373850096 is a `hidden beast` number, since 2 + 5 + 63 + 73 + 8 + 500 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256373850097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336890356 + ... + 336891116.

Almost surely, 2256373850096 is an apocalyptic number.

256373850096 is a gapful number since it is divisible by the number (26) 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 256373850096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452345048064).

256373850096 is an abundant number, since it is smaller than the sum of its proper divisors (648316246032).

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

256373850096 is a wasteful number, since it uses less digits than its factorization.

256373850096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 256373850096 in words is "two hundred fifty-six billion, three hundred seventy-three million, eight hundred fifty thousand, ninety-six".