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12825260280 = 2333571696463
BaseRepresentation
bin10111111000111000…
…11111000011111000
31020002210222201122000
423330130133003320
5202231231312110
65520345501000
7632551625250
oct137434370370
936083881560
1012825260280
115491585968
12259b1a1760
131295120211
14899480960
15500e371c0
hex2fc71f0f8

12825260280 has 128 divisors (see below), whose sum is σ = 48858163200. Its totient is φ = 2931486336.

The previous prime is 12825260233. The next prime is 12825260297. The reversal of 12825260280 is 8206252821.

12825260280 is a `hidden beast` number, since 1 + 28 + 25 + 2 + 602 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840672 + ... + 855791.

It is an arithmetic number, because the mean of its divisors is an integer number (381704400).

Almost surely, 212825260280 is an apocalyptic number.

12825260280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12825260280 is an abundant number, since it is smaller than the sum of its proper divisors (36032902920).

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

12825260280 is a wasteful number, since it uses less digits than its factorization.

12825260280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696490 (or 1696480 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12825260280 in words is "twelve billion, eight hundred twenty-five million, two hundred sixty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 1696463 3392926 5089389 6785852 8482315 10178778 11875241 13571704 15268167 16964630 20357556 23750482 25446945 30536334 33929260 35625723 40715112 45804501 47500964 50893890 59376205 61072668 67858520 71251446 76340835 91609002 95001928 101787780 106877169 118752410 122145336 142502892 152681670 178128615 183218004 203575560 213754338 229022505 237504820 285005784 305363340 320631507 356257230 366436008 427508676 458045010 475009640 534385845 610726680 641263014 712514460 855017352 916090020 1068771690 1282526028 1425028920 1603157535 1832180040 2137543380 2565052056 3206315070 4275086760 6412630140 12825260280