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12808057416 = 23371110367289
BaseRepresentation
bin10111110110110101…
…10111001001001000
31020001121121201201220
423323122313021020
5202212330314131
65514533042040
7632252456160
oct137332671110
936047551656
1012808057416
1154828a6120
122595486320
1312916a8ccb
148970835a0
154ee689e96
hex2fb6b7248

12808057416 has 128 divisors (see below), whose sum is σ = 40309401600. Its totient is φ = 3294420480.

The previous prime is 12808057399. The next prime is 12808057417. The reversal of 12808057416 is 61475080821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12808057417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156700 + ... + 223988.

It is an arithmetic number, because the mean of its divisors is an integer number (314917200).

Almost surely, 212808057416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12808057416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154700800).

12808057416 is an abundant number, since it is smaller than the sum of its proper divisors (27501344184).

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

12808057416 is a wasteful number, since it uses less digits than its factorization.

12808057416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67419 (or 67415 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 12808057416 in words is "twelve billion, eight hundred eight million, fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 103 132 154 168 206 231 264 308 309 412 462 616 618 721 824 924 1133 1236 1442 1848 2163 2266 2472 2884 3399 4326 4532 5768 6798 7931 8652 9064 13596 15862 17304 23793 27192 31724 47586 63448 67289 95172 134578 190344 201867 269156 403734 471023 538312 740179 807468 942046 1413069 1480358 1614936 1884092 2220537 2826138 2960716 3768184 4441074 5181253 5652276 5921432 6930767 8882148 10362506 11304552 13861534 15543759 17764296 20725012 20792301 27723068 31087518 41450024 41584602 48515369 55446136 62175036 76238437 83169204 97030738 124350072 145546107 152476874 166338408 194061476 228715311 291092214 304953748 388122952 457430622 533669059 582184428 609907496 914861244 1067338118 1164368856 1601007177 1829722488 2134676236 3202014354 4269352472 6404028708 12808057416