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256536636040 = 235432833531493
BaseRepresentation
bin1110111011101011000…
…1100110101010001000
3220112011110221101001101
43232322301212222020
513200341334323130
6313503514231144
724351134266456
oct3567261465210
9815143841041
10256536636040
11998842746a3
12418757254b4
131b264399379
14c5b89d19d6
156a16b051ca
hex3bbac66a88

256536636040 has 128 divisors (see below), whose sum is σ = 594795104640. Its totient is φ = 99524468736.

The previous prime is 256536636029. The next prime is 256536636077. The reversal of 256536636040 is 40636635652.

It is a super-2 number, since 2×2565366360402 (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, 171825534 + ... + 171827026.

It is an arithmetic number, because the mean of its divisors is an integer number (4646836755).

Almost surely, 2256536636040 is an apocalyptic number.

256536636040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256536636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297397552320).

256536636040 is an abundant number, since it is smaller than the sum of its proper divisors (338258468600).

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

256536636040 is a wasteful number, since it uses less digits than its factorization.

256536636040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 46.

The spelling of 256536636040 in words is "two hundred fifty-six billion, five hundred thirty-six million, six hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 283 344 353 430 566 706 860 1132 1412 1415 1493 1720 1765 2264 2824 2830 2986 3530 5660 5972 7060 7465 11320 11944 12169 14120 14930 15179 24338 29860 30358 48676 59720 60716 60845 64199 75895 97352 99899 121432 121690 128398 151790 199798 243380 256796 303580 320995 399596 422519 486760 499495 513592 527029 607160 641990 799192 845038 998990 1054058 1283980 1690076 1997980 2108116 2112595 2567960 2635145 3380152 3995960 4216232 4225190 4295657 5270290 8450380 8591314 10540580 16900760 17182628 18168317 21081160 21478285 22662247 34365256 36336634 42956570 45324494 72673268 85913140 90648988 90841585 113311235 145346536 149149207 171826280 181297976 181683170 226622470 298298414 363366340 453244940 596596828 726732680 745746035 906489880 1193193656 1491492070 2982984140 5965968280 6413415901 12826831802 25653663604 32067079505 51307327208 64134159010 128268318020 256536636040