Search a number
-
+
256623314370324 = 22311373371239112583
BaseRepresentation
bin111010010110010111000101…
…011111100111111100010100
31020122121221122000021122200220
4322112113011133213330110
5232114004021434322244
62305443042332034340
7105024264650215236
oct7226270537477424
91218557560248626
10256623314370324
117484a377895930
12249473989029b0
13b026622c1ac35
1447528c5824256
151ea0564711319
hexe965c57e7f14

256623314370324 has 192 divisors, whose sum is σ = 672976173821952. Its totient is φ = 75426291763200.

The previous prime is 256623314370271. The next prime is 256623314370343. The reversal of 256623314370324 is 423073413326652.

It is a super-2 number, since 2×2566233143703242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20394439737 + ... + 20394452319.

It is an arithmetic number, because the mean of its divisors is an integer number (3505084238656).

Almost surely, 2256623314370324 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 256623314370324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336488086910976).

256623314370324 is an abundant number, since it is smaller than the sum of its proper divisors (416352859451628).

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

256623314370324 is a wasteful number, since it uses less digits than its factorization.

256623314370324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25364 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 51.

Adding to 256623314370324 its reverse (423073413326652), we get a palindrome (679696727696976).

The spelling of 256623314370324 in words is "two hundred fifty-six trillion, six hundred twenty-three billion, three hundred fourteen million, three hundred seventy thousand, three hundred twenty-four".