Search a number
-
+
256869076912 = 2475948897951
BaseRepresentation
bin1110111100111010010…
…1110000111110110000
3220120000122111010012021
43233032211300332300
513202031440430122
6314000511441224
724362312062030
oct3571645607660
9816018433167
10256869076912
1199a34996418
1241948b26214
131b2b8215146
14c60ac0b8c0
156a35dc11c7
hex3bce970fb0

256869076912 has 80 divisors (see below), whose sum is σ = 578612966400. Its totient is φ = 108185126400.

The previous prime is 256869076901. The next prime is 256869076931. The reversal of 256869076912 is 219670968652.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32302537 + ... + 32310487.

It is an arithmetic number, because the mean of its divisors is an integer number (7232662080).

Almost surely, 2256869076912 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 256869076912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289306483200).

256869076912 is an abundant number, since it is smaller than the sum of its proper divisors (321743889488).

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

256869076912 is a wasteful number, since it uses less digits than its factorization.

256869076912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12908 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 256869076912 in words is "two hundred fifty-six billion, eight hundred sixty-nine million, seventy-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 4889 6608 7951 9778 15902 19556 31804 34223 39112 55657 63608 68446 78224 111314 127216 136892 222628 273784 288451 445256 469109 547568 576902 890512 938218 1153804 1876436 2019157 2307608 3283763 3752872 4038314 4615216 6567526 7505744 8076628 13135052 16153256 26270104 32306512 38872439 52540208 77744878 155489756 272107073 310979512 544214146 621959024 1088428292 2176856584 2293473901 4353713168 4586947802 9173895604 16054317307 18347791208 32108634614 36695582416 64217269228 128434538456 256869076912