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256503305652 = 223112693721577
BaseRepresentation
bin1110111011100011001…
…0011101010110110100
3220112002011020000100120
43232320302131112310
513200304321240102
6313500324011540
724350251060356
oct3567062352664
9815064200316
10256503305652
119986747a020
1241866530bb0
131b25a4c9549
14c5b43d70d6
156a13c1e6bc
hex3bb8c9d5b4

256503305652 has 48 divisors (see below), whose sum is σ = 653160860352. Its totient is φ = 77699303680.

The previous prime is 256503305633. The next prime is 256503305657.

256503305652 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256503305657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5313 + ... + 716264.

It is an arithmetic number, because the mean of its divisors is an integer number (13607517924).

Almost surely, 2256503305652 is an apocalyptic number.

256503305652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256503305652 is an abundant number, since it is smaller than the sum of its proper divisors (396657554700).

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

256503305652 is a wasteful number, since it uses less digits than its factorization.

256503305652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724288 (or 724286 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 256503305652 in words is "two hundred fifty-six billion, five hundred three million, three hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2693 5386 8079 10772 16158 29623 32316 59246 88869 118492 177738 355476 721577 1443154 2164731 2886308 4329462 7937347 8658924 15874694 23812041 31749388 47624082 95248164 1943206861 3886413722 5829620583 7772827444 11659241166 21375275471 23318482332 42750550942 64125826413 85501101884 128251652826 256503305652