Search a number
-
+
256655224056 = 2337113147199479
BaseRepresentation
bin1110111100000111010…
…1111110110011111000
3220112110202002021020010
43233001311332303320
513201112214132211
6313523352101520
724354104260230
oct3570165766370
9815422067203
10256655224056
1199935201620
12418a93948a0
131b282b1a6aa
14c5ca660cc0
156a2222c4a6
hex3bc1d7ecf8

256655224056 has 512 divisors, whose sum is σ = 849346560000. Its totient is φ = 62692185600.

The previous prime is 256655224039. The next prime is 256655224061. The reversal of 256655224056 is 650422556652.

It is a happy number.

It is a super-2 number, since 2×2566552240562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256655223996 and 256655224014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 535814425 + ... + 535814903.

It is an arithmetic number, because the mean of its divisors is an integer number (1658880000).

Almost surely, 2256655224056 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 256655224056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424673280000).

256655224056 is an abundant number, since it is smaller than the sum of its proper divisors (592691335944).

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

256655224056 is a wasteful number, since it uses less digits than its factorization.

256655224056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 256655224056 in words is "two hundred fifty-six billion, six hundred fifty-five million, two hundred twenty-four thousand, fifty-six".