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256481027244 = 2232133161353821
BaseRepresentation
bin1110111011011101110…
…1011110010010101100
3220112000121022011010100
43232313131132102230
513200233120332434
6313454210311100
724346560521631
oct3566735362254
9815017264110
10256481027244
1199855942a12
124185ab88490
131b2559c9060
14c5b1478188
156a11cbd699
hex3bb775e4ac

256481027244 has 288 divisors, whose sum is σ = 735505924608. Its totient is φ = 74815488000.

The previous prime is 256481027239. The next prime is 256481027249. The reversal of 256481027244 is 442720184652.

256481027244 is a `hidden beast` number, since 2 + 564 + 8 + 10 + 2 + 72 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (256481027239) and next prime (256481027249).

It is a super-2 number, since 2×2564810272442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256481027244.

It is not an unprimeable number, because it can be changed into a prime (256481027249) 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, 312400354 + ... + 312401174.

It is an arithmetic number, because the mean of its divisors is an integer number (2553840016).

Almost surely, 2256481027244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256481027244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367752962304).

256481027244 is an abundant number, since it is smaller than the sum of its proper divisors (479024897364).

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

256481027244 is a wasteful number, since it uses less digits than its factorization.

256481027244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 256481027244 in words is "two hundred fifty-six billion, four hundred eighty-one million, twenty-seven thousand, two hundred forty-four".