Search a number
-
+
1268936858457 = 3223314310194513
BaseRepresentation
bin10010011101110010100…
…001111101101101011001
311111022100101120100211100
4102131302201331231121
5131242240313432312
62410535212422013
7160451303221452
oct22356241755531
94438311510740
101268936858457
1144a175859194
12185b18477909
13928776b8308
14455b9c78129
152301bce65dc
hex1277287db59

1268936858457 has 96 divisors (see below), whose sum is σ = 2022641786880. Its totient is φ = 763943685120.

The previous prime is 1268936858419. The next prime is 1268936858459. The reversal of 1268936858457 is 7548586398621.

1268936858457 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 36 + 8 + 584 + 5 + 7 = 666.

It is not a de Polignac number, because 1268936858457 - 236 = 1200217381721 is a prime.

It is a super-2 number, since 2×12689368584572 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268936858459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281171433 + ... + 281175945.

It is an arithmetic number, because the mean of its divisors is an integer number (21069185280).

Almost surely, 21268936858457 is an apocalyptic number.

It is an amenable number.

1268936858457 is a deficient number, since it is larger than the sum of its proper divisors (753704928423).

1268936858457 is a wasteful number, since it uses less digits than its factorization.

1268936858457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5632 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 1268936858457 in words is "one trillion, two hundred sixty-eight billion, nine hundred thirty-six million, eight hundred fifty-eight thousand, four hundred fifty-seven".

Divisors: 1 3 9 23 31 43 69 93 129 207 279 387 713 989 1019 1333 2139 2967 3057 3999 4513 6417 8901 9171 11997 13539 23437 30659 31589 40617 43817 70311 91977 94767 103799 131451 139903 194059 210933 275931 284301 311397 394353 419709 582177 726547 934191 1007791 1259127 1358327 1746531 2179641 3023373 3217769 4074981 4463357 4598747 6015829 6538923 9070119 9653307 12224943 13390071 13796241 18047487 28959921 31241521 40170213 41388723 54142461 93724563 105771181 138364067 142561157 197746121 281173689 317313543 415092201 427683471 593238363 951940629 1245276603 1283050413 1779715089 3278906611 4548160783 6130129751 9836719833 13644482349 18390389253 29510159499 40933447047 55171167759 140992984273 422978952819 1268936858457