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12792963285 = 3352329314583
BaseRepresentation
bin10111110101000010…
…10010000011010101
31020000120012212111000
423322201102003111
5202144444311120
65513233333513
7632010252024
oct137241220325
936016185430
1012792963285
115475326733
122590407299
13128b52287b
148950748bb
154ed1a7990
hex2fa8520d5

12792963285 has 128 divisors (see below), whose sum is σ = 25347686400. Its totient is φ = 6096625920.

The previous prime is 12792963269. The next prime is 12792963289. The reversal of 12792963285 is 58236929721.

12792963285 is a `hidden beast` number, since 1 + 2 + 79 + 296 + 3 + 285 = 666.

It is not a de Polignac number, because 12792963285 - 24 = 12792963269 is a prime.

It is a super-2 number, since 2×127929632852 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792963289) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2789104 + ... + 2793686.

It is an arithmetic number, because the mean of its divisors is an integer number (198028800).

Almost surely, 212792963285 is an apocalyptic number.

12792963285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12792963285 is a deficient number, since it is larger than the sum of its proper divisors (12554723115).

12792963285 is a wasteful number, since it uses less digits than its factorization.

12792963285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4674 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 12792963285 in words is "twelve billion, seven hundred ninety-two million, nine hundred sixty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 23 27 29 31 45 69 87 93 115 135 145 155 207 261 279 345 435 465 621 667 713 783 837 899 1035 1305 1395 2001 2139 2697 3105 3335 3565 3915 4185 4495 4583 6003 6417 8091 10005 10695 13485 13749 18009 19251 20677 22915 24273 30015 32085 40455 41247 62031 68745 90045 96255 103385 105409 121365 123741 132907 142073 186093 206235 310155 316227 398721 426219 527045 558279 618705 664535 710365 930465 948681 1196163 1278657 1581135 1993605 2131095 2791395 2846043 3056861 3267679 3588489 3835971 4120117 4743405 5980815 6393285 9170583 9803037 12360351 14230215 15284305 16338395 17942445 19179855 20600585 27511749 29409111 37081053 45852915 49015185 61801755 82535247 88227333 94762691 111243159 137558745 147045555 185405265 284288073 412676235 441136665 473813455 556215795 852864219 1421440365 2558592657 4264321095 12792963285