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12479813840 = 24513312691439
BaseRepresentation
bin10111001111101101…
…01101100011010000
31012012201222020012102
423213312231203100
5201024313020330
65422205415532
7621155444624
oct134766554320
935181866172
1012479813840
11532459093a
12250356a5a8
13123b69c840
1486563b184
154d094c945
hex2e7dad8d0

12479813840 has 160 divisors (see below), whose sum is σ = 32397926400. Its totient is φ = 4439623680.

The previous prime is 12479813837. The next prime is 12479813851. The reversal of 12479813840 is 4831897421.

It is a congruent number.

It is an unprimeable number.

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, 8671841 + ... + 8673279.

It is an arithmetic number, because the mean of its divisors is an integer number (202487040).

Almost surely, 212479813840 is an apocalyptic number.

12479813840 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 12479813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198963200).

12479813840 is an abundant number, since it is smaller than the sum of its proper divisors (19918112560).

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

12479813840 is a wasteful number, since it uses less digits than its factorization.

12479813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 12479813840 in words is "twelve billion, four hundred seventy-nine million, eight hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 269 310 403 496 520 538 620 806 1040 1076 1240 1345 1439 1612 2015 2152 2480 2690 2878 3224 3497 4030 4304 5380 5756 6448 6994 7195 8060 8339 10760 11512 13988 14390 16120 16678 17485 18707 21520 23024 27976 28780 32240 33356 34970 37414 41695 44609 55952 57560 66712 69940 74828 83390 89218 93535 108407 115120 133424 139880 149656 166780 178436 187070 216814 223045 279760 299312 333560 356872 374140 387091 433628 446090 542035 579917 667120 713744 748280 774182 867256 892180 1084070 1159834 1496560 1548364 1734512 1784360 1935455 2168140 2319668 2899585 3096728 3568720 3870910 4336280 4639336 5032183 5799170 6193456 7741820 8672560 9278672 10064366 11598340 11999821 15483640 20128732 23196680 23999642 25160915 30967280 40257464 46393360 47999284 50321830 59999105 80514928 95998568 100643660 119998210 155997673 191997136 201287320 239996420 311995346 402574640 479992840 623990692 779988365 959985680 1247981384 1559976730 2495962768 3119953460 6239906920 12479813840