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12808053200 = 245237865409
BaseRepresentation
bin10111110110110101…
…10110000111010000
31020001121121111221202
423323122312013100
5202212330200300
65514533010332
7632252440655
oct137332660720
936047544852
1012808053200
1154828a2a38
1225954839a8
1312916a7107
14897081c2c
154ee688ad5
hex2fb6b61d0

12808053200 has 60 divisors (see below), whose sum is σ = 31603042380. Its totient is φ = 4984750080.

The previous prime is 12808053199. The next prime is 12808053233. The reversal of 12808053200 is 235080821.

It can be written as a sum of positive squares in 6 ways, for example, as 2020322704 + 10787730496 = 44948^2 + 103864^2 .

It is a super-3 number, since 3×128080532003 (a number of 31 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 417905 + ... + 447504.

It is an arithmetic number, because the mean of its divisors is an integer number (526717373).

Almost surely, 212808053200 is an apocalyptic number.

12808053200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12808053200 is an abundant number, since it is smaller than the sum of its proper divisors (18794989180).

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

12808053200 is a wasteful number, since it uses less digits than its factorization.

12808053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865464 (or 865453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 12808053200 in words is "twelve billion, eight hundred eight million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 865409 1730818 3461636 4327045 6923272 8654090 13846544 17308180 21635225 32020133 34616360 43270450 64040266 69232720 86540900 128080532 160100665 173081800 256161064 320201330 346163600 512322128 640402660 800503325 1280805320 1601006650 2561610640 3202013300 6404026600 12808053200