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256996377360 = 243257311094409
BaseRepresentation
bin1110111101011000101…
…1011000001100010000
3220120100112000122120200
43233112023120030100
513202312033033420
6314021300135200
724365416110252
oct3572613301420
9816315018520
10256996377360
1199a9a8340a8
1241983697500
131b3086c6c58
14c61daa7cd2
156a42169b90
hex3bd62d8310

256996377360 has 240 divisors, whose sum is σ = 875890033200. Its totient is φ = 67517300736.

The previous prime is 256996377359. The next prime is 256996377361. The reversal of 256996377360 is 63773699652.

256996377360 is a `hidden beast` number, since 2 + 569 + 9 + 6 + 3 + 7 + 7 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (256996377359) and next prime (256996377361).

It can be written as a sum of positive squares in 8 ways, for example, as 86711403024 + 170284974336 = 294468^2 + 412656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (256996377361) 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, 58286836 + ... + 58291244.

It is an arithmetic number, because the mean of its divisors is an integer number (3649541805).

Almost surely, 2256996377360 is an apocalyptic number.

256996377360 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 256996377360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437945016600).

256996377360 is an abundant number, since it is smaller than the sum of its proper divisors (618893655840).

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

256996377360 is a wasteful number, since it uses less digits than its factorization.

256996377360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 256996377360 in words is "two hundred fifty-six billion, nine hundred ninety-six million, three hundred seventy-seven thousand, three hundred sixty".