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12754056285 = 3451710118341
BaseRepresentation
bin10111110000011001…
…10111010001011101
31012220212000012010000
423320030313101131
5202110014300120
65505323404513
7631025455365
oct137014672135
935825005100
1012754056285
115455372293
12257b383739
13128344c689
1488dc279a5
154e9a6e990
hex2f833745d

12754056285 has 80 divisors (see below), whose sum is σ = 24448712112. Its totient is φ = 6338304000.

The previous prime is 12754056277. The next prime is 12754056311. The reversal of 12754056285 is 58265045721.

12754056285 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 4 + 0 + 562 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 247212729 + 12506843556 = 15723^2 + 111834^2 .

It is not a de Polignac number, because 12754056285 - 23 = 12754056277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12754056285.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 686215 + ... + 704555.

Almost surely, 212754056285 is an apocalyptic number.

12754056285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12754056285 is a deficient number, since it is larger than the sum of its proper divisors (11694655827).

12754056285 is a wasteful number, since it uses less digits than its factorization.

12754056285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18476 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12754056285 in words is "twelve billion, seven hundred fifty-four million, fifty-six thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 101 135 153 255 303 405 459 505 765 909 1377 1515 1717 2295 2727 4545 5151 6885 8181 8585 13635 15453 18341 25755 40905 46359 55023 77265 91705 139077 165069 231795 275115 311797 495207 695385 825345 935391 1485621 1558985 1852441 2476035 2806173 4676955 5557323 7428105 8418519 9262205 14030865 16671969 25255557 27786615 31491497 42092595 50015907 83359845 94474491 126277785 150047721 157457485 250079535 283423473 472372455 750238605 850270419 1417117365 2550811257 4251352095 12754056285