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256523857980 = 2235131056731123
BaseRepresentation
bin1110111011101000000…
…0110111000000111100
3220112010120220011211220
43232322000313000330
513200330101423410
6313502340313340
724350620546605
oct3567200670074
9815116804756
10256523857980
1199878037315
12418713a2850
131b2618441a0
14c5b7026dac
156a1592e070
hex3bba03703c

256523857980 has 96 divisors (see below), whose sum is σ = 773616152064. Its totient is φ = 63136329984.

The previous prime is 256523857973. The next prime is 256523857999. The reversal of 256523857980 is 89758325652.

It is a happy number.

256523857980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8226699 + ... + 8257821.

It is an arithmetic number, because the mean of its divisors is an integer number (8058501584).

Almost surely, 2256523857980 is an apocalyptic number.

256523857980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256523857980 is an abundant number, since it is smaller than the sum of its proper divisors (517092294084).

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

256523857980 is a wasteful number, since it uses less digits than its factorization.

256523857980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41715 (or 41713 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 256523857980 in words is "two hundred fifty-six billion, five hundred twenty-three million, eight hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 10567 21134 31123 31701 42268 52835 62246 63402 93369 105670 124492 126804 137371 155615 158505 186738 211340 274742 311230 317010 373476 404599 412113 466845 549484 622460 634020 686855 809198 824226 933690 1213797 1373710 1618396 1648452 1867380 2022995 2060565 2427594 2747420 4045990 4121130 4855188 6068985 8091980 8242260 12137970 24275940 328876741 657753482 986630223 1315506964 1644383705 1973260446 3288767410 3946520892 4275397633 4933151115 6577534820 8550795266 9866302230 12826192899 17101590532 19732604460 21376988165 25652385798 42753976330 51304771596 64130964495 85507952660 128261928990 256523857980