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256020027480 = 23355726771113
BaseRepresentation
bin1110111001101111111…
…0111001100001011000
3220110211110211221100000
43232123332321201120
513143312111334410
6313340341413000
724332262220200
oct3563376714130
9813743757300
10256020027480
11996396a3a78
124175070a160
131b1b134a729
14c56a155400
1569d65aadc0
hex3b9bfb9858

256020027480 has 1152 divisors, whose sum is σ = 1042233454080. Its totient is φ = 56330588160.

The previous prime is 256020027467. The next prime is 256020027499. The reversal of 256020027480 is 84720020652.

256020027480 is a `hidden beast` number, since 2 + 5 + 602 + 0 + 0 + 2 + 7 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2265663904 + ... + 2265664016.

It is an arithmetic number, because the mean of its divisors is an integer number (904716540).

Almost surely, 2256020027480 is an apocalyptic number.

256020027480 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 256020027480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521116727040).

256020027480 is an abundant number, since it is smaller than the sum of its proper divisors (786213426600).

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

256020027480 is a wasteful number, since it uses less digits than its factorization.

256020027480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 256020027480 in words is "two hundred fifty-six billion, twenty million, twenty-seven thousand, four hundred eighty".