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256828828652 = 221117241492617
BaseRepresentation
bin1110111100110000110…
…0001110101111101100
3220112220211202021221222
43233030030032233230
513201441140004102
6313552513042512
724361313011124
oct3571414165754
9815824667858
10256828828652
1199a141a62a0
1241937556438
131b2aca925c6
14c605731c84
156a325c0aa2
hex3bcc30ebec

256828828652 has 72 divisors (see below), whose sum is σ = 533552585328. Its totient is φ = 107193241600.

The previous prime is 256828828643. The next prime is 256828828657.

256828828652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2568288286522 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256828828657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275048 + ... + 767664.

It is an arithmetic number, because the mean of its divisors is an integer number (7410452574).

Almost surely, 2256828828652 is an apocalyptic number.

256828828652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256828828652 is an abundant number, since it is smaller than the sum of its proper divisors (276723756676).

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

256828828652 is a wasteful number, since it uses less digits than its factorization.

256828828652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492707 (or 492688 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 62.

The spelling of 256828828652 in words is "two hundred fifty-six billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, six hundred fifty-two".

Divisors: 1 2 4 11 17 22 34 41 44 68 82 164 187 289 374 451 578 697 748 902 1156 1394 1804 2788 3179 6358 7667 11849 12716 15334 23698 30668 47396 130339 260678 492617 521356 985234 1970468 5418787 8374489 10837574 16748978 20197297 21675148 33497956 40394594 80789188 92119379 142366313 184238758 222170267 284732626 343354049 368477516 444340534 569465252 686708098 888681068 1373416196 1566029443 3132058886 3776894539 5837018833 6264117772 7553789078 11674037666 15107578156 23348075332 64207207163 128414414326 256828828652