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256278872652 = 2231121056716703
BaseRepresentation
bin1110111010101101101…
…0010100001001001100
3220111111111220122011020
43232223122110021030
513144324342411102
6313422145354140
724341554321635
oct3565332241114
9814444818136
10256278872652
1199761819200
1241803338950
131b222b6915a
14c59269488c
1569ee18abbc
hex3bab69424c

256278872652 has 72 divisors (see below), whose sum is σ = 657389795328. Its totient is φ = 77648266080.

The previous prime is 256278872639. The next prime is 256278872653.

256278872652 is nontrivially palindromic in base 10.

256278872652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256278872653) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15334933 + ... + 15351635.

It is an arithmetic number, because the mean of its divisors is an integer number (9130413824).

Almost surely, 2256278872652 is an apocalyptic number.

256278872652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256278872652 is an abundant number, since it is smaller than the sum of its proper divisors (401110922676).

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

256278872652 is a wasteful number, since it uses less digits than its factorization.

256278872652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27299 (or 27286 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 256278872652 in words is "two hundred fifty-six billion, two hundred seventy-eight million, eight hundred seventy-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 10567 16703 21134 31701 33406 42268 50109 63402 66812 100218 116237 126804 183733 200436 232474 348711 367466 464948 551199 697422 734932 1102398 1278607 1394844 2021063 2204796 2557214 3835821 4042126 5114428 6063189 7671642 8084252 12126378 15343284 24252756 176500601 353001202 529501803 706002404 1059003606 1941506611 2118007212 3883013222 5824519833 7766026444 11649039666 21356572721 23298079332 42713145442 64069718163 85426290884 128139436326 256278872652