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12817230048 = 25347706417
BaseRepresentation
bin10111110111111011…
…10110100011100000
31020002020212202020000
423323331312203200
5202222202330143
65515501420000
7632423441430
oct137375664340
936066782200
1012817230048
115487aa0707
12259856a600
13129356b0bc
148983902c0
1550039cbd3
hex2fbf768e0

12817230048 has 120 divisors (see below), whose sum is σ = 43080195312. Its totient is φ = 3662060544.

The previous prime is 12817230001. The next prime is 12817230059. The reversal of 12817230048 is 84003271821.

12817230048 is a `hidden beast` number, since 1 + 281 + 72 + 300 + 4 + 8 = 666.

It is a super-2 number, since 2×128172300482 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12817229994 and 12817230021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 335065 + ... + 371352.

Almost surely, 212817230048 is an apocalyptic number.

12817230048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12817230048 is an abundant number, since it is smaller than the sum of its proper divisors (30262965264).

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

12817230048 is an equidigital number, since it uses as much as digits as its factorization.

12817230048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706446 (or 706429 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12817230048 in words is "twelve billion, eight hundred seventeen million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 706417 1412834 2119251 2825668 4238502 4944919 5651336 6357753 8477004 9889838 11302672 12715506 14834757 16954008 19073259 19779676 22605344 25431012 29669514 33908016 38146518 39559352 44504271 50862024 57219777 59339028 67816032 76293036 79118704 89008542 101724048 114439554 118678056 133512813 152586072 158237408 178017084 203448096 228879108 237356112 267025626 305172144 356034168 400538439 457758216 474712224 534051252 610344288 712068336 801076878 915516432 1068102504 1424136672 1602153756 1831032864 2136205008 3204307512 4272410016 6408615024 12817230048