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12434208885 = 335723475417
BaseRepresentation
bin10111001010010001…
…01111100001110101
31012002120011020222000
423211020233201311
5200431124141020
65413500125513
7620063013600
oct134510574165
935076136860
1012434208885
11530087219a
1224b0236899
1312320c2a67
1485d569337
154cb940090
hex2e522f875

12434208885 has 96 divisors (see below), whose sum is σ = 25793147520. Its totient is φ = 5666782464.

The previous prime is 12434208851. The next prime is 12434208923. The reversal of 12434208885 is 58880243421.

12434208885 is a `hidden beast` number, since 1 + 2 + 434 + 208 + 8 + 8 + 5 = 666.

It is not a de Polignac number, because 12434208885 - 219 = 12433684597 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 12434208885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2292697 + ... + 2298113.

It is an arithmetic number, because the mean of its divisors is an integer number (268678620).

Almost surely, 212434208885 is an apocalyptic number.

12434208885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12434208885 is an abundant number, since it is smaller than the sum of its proper divisors (13358938635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12434208885 is a wasteful number, since it uses less digits than its factorization.

12434208885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 12434208885 in words is "twelve billion, four hundred thirty-four million, two hundred eight thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 347 441 735 945 1041 1323 1735 2205 2429 3123 5205 5417 6615 7287 9369 12145 15615 16251 17003 21861 27085 36435 37919 46845 48753 51009 65583 81255 85015 109305 113757 146259 153027 189595 243765 255045 265433 327915 341271 459081 568785 731295 765135 796299 1023813 1327165 1706355 1879699 2295405 2388897 3981495 5119065 5639097 7166691 9398495 11944485 13157893 16917291 28195485 35833455 39473679 50751873 65789465 84586455 92105251 118421037 197368395 253759365 276315753 355263111 460526255 592105185 828947259 1381578765 1776315555 2486841777 4144736295 12434208885