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12629496720 = 2435312516763
BaseRepresentation
bin10111100001100011…
…01101001110010000
31012121011121220111210
423300301231032100
5201331122343340
65445113540120
7624653644101
oct136061551620
935534556453
1012629496720
1153a10268a5
122545714640
1312636ba2a9
1487b4823a8
154ddb68180
hex2f0c6d390

12629496720 has 160 divisors (see below), whose sum is σ = 40581402624. Its totient is φ = 3245760000.

The previous prime is 12629496679. The next prime is 12629496767. The reversal of 12629496720 is 2769492621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12629496720.

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, 1864059 + ... + 1870821.

Almost surely, 212629496720 is an apocalyptic number.

12629496720 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 12629496720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290701312).

12629496720 is an abundant number, since it is smaller than the sum of its proper divisors (27951905904).

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

12629496720 is a wasteful number, since it uses less digits than its factorization.

12629496720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 12629496720 in words is "twelve billion, six hundred twenty-nine million, four hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 251 310 372 465 496 502 620 744 753 930 1004 1240 1255 1488 1506 1860 2008 2480 2510 3012 3720 3765 4016 5020 6024 6763 7440 7530 7781 10040 12048 13526 15060 15562 20080 20289 23343 27052 30120 31124 33815 38905 40578 46686 54104 60240 62248 67630 77810 81156 93372 101445 108208 116715 124496 135260 155620 162312 186744 202890 209653 233430 270520 311240 324624 373488 405780 419306 466860 541040 622480 628959 811560 838612 933720 1048265 1257918 1623120 1677224 1697513 1867440 2096530 2515836 3144795 3354448 3395026 4193060 5031672 5092539 6289590 6790052 8386120 8487565 10063344 10185078 12579180 13580104 16772240 16975130 20370156 25158360 25462695 27160208 33950260 40740312 50316720 50925390 52622903 67900520 81480624 101850780 105245806 135801040 157868709 203701560 210491612 263114515 315737418 407403120 420983224 526229030 631474836 789343545 841966448 1052458060 1262949672 1578687090 2104916120 2525899344 3157374180 4209832240 6314748360 12629496720