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256342405476 = 223176185923981
BaseRepresentation
bin1110111010111100110…
…0101011000101100100
3220111122221110102210210
43232233030223011210
513144442123433401
6313432335215420
724343255331553
oct3565714530544
9814587412723
10256342405476
1199794672373
1241820677570
131b233082141
14c59acb1d9a
156a04a3a4d6
hex3baf32b164

256342405476 has 96 divisors (see below), whose sum is σ = 644475000960. Its totient is φ = 79007385600.

The previous prime is 256342405411. The next prime is 256342405531. The reversal of 256342405476 is 674504243652.

It is a happy number.

It is a super-2 number, since 2×2563424054762 (a number of 24 digits) contains 22 as substring.

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, 10677406 + ... + 10701386.

It is an arithmetic number, because the mean of its divisors is an integer number (6713281260).

Almost surely, 2256342405476 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 256342405476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237500480).

256342405476 is an abundant number, since it is smaller than the sum of its proper divisors (388132595484).

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

256342405476 is a wasteful number, since it uses less digits than its factorization.

256342405476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24925 (or 24923 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 256342405476 in words is "two hundred fifty-six billion, three hundred forty-two million, four hundred five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 859 1037 1718 2074 2577 3111 3436 4148 5154 6222 10308 12444 14603 23981 29206 43809 47962 52399 58412 71943 87618 95924 104798 143886 157197 175236 209596 287772 314394 407677 628788 815354 890783 1223031 1462841 1630708 1781566 2446062 2672349 2925682 3563132 4388523 4892124 5344698 5851364 8777046 10689396 17554092 20599679 24868297 41199358 49736594 61799037 74604891 82398716 99473188 123598074 149209782 247196148 298419564 350194543 700389086 1050583629 1256580419 1400778172 2101167258 2513160838 3769741257 4202334516 5026321676 7539482514 15078965028 21361867123 42723734246 64085601369 85447468492 128171202738 256342405476