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12744867000 = 2335323318233
BaseRepresentation
bin10111101111010011…
…10011110010111000
31012220012201022210010
423313221303302320
5202100141221000
65504354421520
7630554403435
oct136751636270
935805638703
1012744867000
115450166238
1225782918a0
131281582b28
1488c914b8c
154e8d56d50
hex2f7a73cb8

12744867000 has 128 divisors (see below), whose sum is σ = 39936836160. Its totient is φ = 3383859200.

The previous prime is 12744866993. The next prime is 12744867007. The reversal of 12744867000 is 76844721.

It is an interprime number because it is at equal distance from previous prime (12744866993) and next prime (12744867007).

It is a self number, because there is not a number n which added to its sum of digits gives 12744867000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744867007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689884 + ... + 708116.

Almost surely, 212744867000 is an apocalyptic number.

12744867000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12744867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968418080).

12744867000 is an abundant number, since it is smaller than the sum of its proper divisors (27191969160).

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

12744867000 is a wasteful number, since it uses less digits than its factorization.

12744867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 12744867000 in words is "twelve billion, seven hundred forty-four million, eight hundred sixty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 233 250 300 375 466 500 600 699 750 932 1000 1165 1398 1500 1864 2330 2796 3000 3495 4660 5592 5825 6990 9320 11650 13980 17475 18233 23300 27960 29125 34950 36466 46600 54699 58250 69900 72932 87375 91165 109398 116500 139800 145864 174750 182330 218796 233000 273495 349500 364660 437592 455825 546990 699000 729320 911650 1093980 1367475 1823300 2187960 2279125 2734950 3646600 4248289 4558250 5469900 6837375 8496578 9116500 10939800 12744867 13674750 16993156 18233000 21241445 25489734 27349500 33986312 42482890 50979468 54699000 63724335 84965780 101958936 106207225 127448670 169931560 212414450 254897340 318621675 424828900 509794680 531036125 637243350 849657800 1062072250 1274486700 1593108375 2124144500 2548973400 3186216750 4248289000 6372433500 12744867000