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256292100009 = 32112234292
BaseRepresentation
bin1110111010110000110…
…0110001011110101001
3220111112102210122200100
43232230030301132221
513144341234200014
6313423341100013
724342104622441
oct3565414613651
9814472718610
10256292100009
1199769233100
1241807857609
131b22581a9aa
14c594339121
156a00400009
hex3bac3317a9

256292100009 has 135 divisors (see below), whose sum is σ = 440584870999. Its totient is φ = 143451850080.

The previous prime is 256292099971. The next prime is 256292100023. The reversal of 256292100009 is 900001292652.

It is a happy number.

The square root of 256292100009 is 506253.

It is a perfect power (a square), and thus also a powerful number.

256292100009 is a `hidden beast` number, since 2 + 5 + 629 + 21 + 0 + 0 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134393360409 + 121898739600 = 366597^2 + 349140^2 .

It is not a de Polignac number, because 256292100009 - 27 = 256292099881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256292100709) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8837658607 + ... + 8837658635.

Almost surely, 2256292100009 is an apocalyptic number.

256292100009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

256292100009 is the 506253-rd square number.

256292100009 is the 253127-th centered octagonal number.

It is an amenable number.

256292100009 is a deficient number, since it is larger than the sum of its proper divisors (184292770990).

256292100009 is an frugal number, since it uses more digits than its factorization.

256292100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 256292100009 by its sum of digits (36), we get a square (9226515600324 = 30375182).

The spelling of 256292100009 in words is "two hundred fifty-six billion, two hundred ninety-two million, one hundred thousand, nine".

Divisors: 1 3 9 11 23 29 33 69 87 99 121 207 253 261 319 363 529 667 759 841 957 1089 1587 2001 2277 2523 2783 2871 3509 4761 5819 6003 7337 7569 8349 9251 10527 12167 15341 17457 19343 22011 25047 27753 31581 36501 46023 52371 58029 64009 66033 80707 83259 101761 109503 133837 138069 168751 174087 192027 212773 242121 279841 305283 352843 401511 444889 506253 576081 638319 726363 839523 915849 1058529 1204533 1334667 1472207 1518759 1856261 1914957 2340503 2518569 3078251 3175587 3881273 4004001 4416621 4893779 5568783 7021509 8115389 9234753 10232447 11643819 13249863 14681337 16706349 21064527 24346167 27704259 30697341 33860761 34931457 42694003 44044011 53831569 73038501 89269279 92092023 101582283 112556917 128082009 161494707 235346281 267807837 304746849 337670751 384246027 484484121 706038843 803423511 981962069 1013012253 1238126087 2118116529 2588809091 2945886207 3714378261 7766427273 8837658621 11143134783 23299281819 28476900001 85430700003 256292100009