Search a number
-
+
256833691620 = 2235111229316633
BaseRepresentation
bin1110111100110001111…
…0110001111111100100
3220112221011220100200220
43233030132301333210
513201443411112440
6313553205204340
724361402233642
oct3571436617744
9815834810626
10256833691620
1199a16a17980
12419391006b0
131b2b0aa5bbc
14c60623a192
156a32c318d0
hex3bcc7b1fe4

256833691620 has 96 divisors (see below), whose sum is σ = 785150997120. Its totient is φ = 62211855360.

The previous prime is 256833691579. The next prime is 256833691633. The reversal of 256833691620 is 26196338652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652824 + ... + 969456.

It is an arithmetic number, because the mean of its divisors is an integer number (8178656220).

Almost surely, 2256833691620 is an apocalyptic number.

256833691620 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 256833691620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392575498560).

256833691620 is an abundant number, since it is smaller than the sum of its proper divisors (528317305500).

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

256833691620 is a wasteful number, since it uses less digits than its factorization.

256833691620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317885 (or 317883 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 256833691620 in words is "two hundred fifty-six billion, eight hundred thirty-three million, six hundred ninety-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1229 2458 3687 4916 6145 7374 12290 13519 14748 18435 24580 27038 36870 40557 54076 67595 73740 81114 135190 162228 202785 270380 316633 405570 633266 811140 949899 1266532 1583165 1899798 3166330 3482963 3799596 4749495 6332660 6965926 9498990 10448889 13931852 17414815 18997980 20897778 34829630 41795556 52244445 69659260 104488890 208977780 389141957 778283914 1167425871 1556567828 1945709785 2334851742 3891419570 4280561527 4669703484 5837129355 7782839140 8561123054 11674258710 12841684581 17122246108 21402807635 23348517420 25683369162 42805615270 51366738324 64208422905 85611230540 128416845810 256833691620