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136250477649 = 3311131911631597
BaseRepresentation
bin111111011100100101…
…0010100110001010001
3111000200112022102001000
41332321022110301101
54213020110241044
6142332000332213
712562261644156
oct1767112246121
9430615272030
10136250477649
115286892a540
12224a6014069
13cb04b1c510
14684767a22d
153826976d69
hex1fb9294c51

136250477649 has 128 divisors (see below), whose sum is σ = 249993676800. Its totient is φ = 72104981760.

The previous prime is 136250477593. The next prime is 136250477683. The reversal of 136250477649 is 946774052631.

136250477649 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 504 + 77 + 64 + 9 = 666.

It is not a de Polignac number, because 136250477649 - 211 = 136250475601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136250477595 and 136250477604.

It is not an unprimeable number, because it can be changed into a prime (136250477749) 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 127 ways as a sum of consecutive naturals, for example, 85315719 + ... + 85317315.

It is an arithmetic number, because the mean of its divisors is an integer number (1953075600).

Almost surely, 2136250477649 is an apocalyptic number.

136250477649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

136250477649 is a deficient number, since it is larger than the sum of its proper divisors (113743199151).

136250477649 is a wasteful number, since it uses less digits than its factorization.

136250477649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 136250477649 in words is "one hundred thirty-six billion, two hundred fifty million, four hundred seventy-seven thousand, six hundred forty-nine".

Divisors: 1 3 9 11 13 19 27 33 39 57 99 117 143 171 209 247 297 351 429 513 627 741 1163 1287 1597 1881 2223 2717 3489 3861 4791 5643 6669 8151 10467 12793 14373 15119 17567 20761 22097 24453 30343 31401 38379 43119 45357 52701 62283 66291 73359 91029 115137 136071 158103 166309 186849 198873 228371 243067 273087 287261 333773 345411 394459 408213 474309 498927 560547 596619 685113 729201 819261 861783 1001319 1183377 1496781 1857311 2055339 2187603 2585349 3003957 3159871 3550131 4339049 4490343 5571933 6166017 6562809 7756047 9011871 9479613 10650393 13017147 16715799 20430421 24145043 28438839 35288909 39051441 50147397 61291263 72435129 85316517 105866727 117154323 183873789 217305387 265595473 317600181 388177999 458755817 551621367 651916161 796786419 952800543 1164533997 1376267451 2390359257 3493601991 4128802353 5046313987 7171077771 10480805973 12386407059 15138941961 45416825883 136250477649