Search a number
-
+
256412245584 = 24311485629253
BaseRepresentation
bin1110111011001101011…
…1000101111001010000
3220111211210212200102110
43232303113011321100
513200113013324314
6313443312145320
724345064061205
oct3566327057120
9814753780373
10256412245584
1199820034270
124183bb38240
131b244695c51
14c5a6291cac
156a0ac33a59
hex3bb35c5e50

256412245584 has 40 divisors (see below), whose sum is σ = 722616329952. Its totient is φ = 77700680320.

The previous prime is 256412245549. The next prime is 256412245601. The reversal of 256412245584 is 485542214652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242814099 + ... + 242815154.

Almost surely, 2256412245584 is an apocalyptic number.

256412245584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256412245584 is an abundant number, since it is smaller than the sum of its proper divisors (466204084368).

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

256412245584 is a wasteful number, since it uses less digits than its factorization.

256412245584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485629275 (or 485629269 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 48.

The spelling of 256412245584 in words is "two hundred fifty-six billion, four hundred twelve million, two hundred forty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 485629253 971258506 1456887759 1942517012 2913775518 3885034024 5341921783 5827551036 7770068048 10683843566 11655102072 16025765349 21367687132 23310204144 32051530698 42735374264 64103061396 85470748528 128206122792 256412245584