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12830229440 = 26575727781
BaseRepresentation
bin10111111001011110…
…11100001111000000
31020010011100012000222
423330233130033000
5202234014320230
65521044202212
7632642102510
oct137457341700
936104305028
1012830229440
11549436a306
1225a0999368
13129616cc52
14899db5840
155015b96e5
hex2fcbdc3c0

12830229440 has 56 divisors (see below), whose sum is σ = 34916559072. Its totient is φ = 4398935040.

The previous prime is 12830229431. The next prime is 12830229469. The reversal of 12830229440 is 4492203821.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×128302294402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12830229440.

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 7 ways as a sum of consecutive naturals, for example, 2861651 + ... + 2866130.

Almost surely, 212830229440 is an apocalyptic number.

12830229440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12830229440 is an abundant number, since it is smaller than the sum of its proper divisors (22086329632).

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

12830229440 is an equidigital number, since it uses as much as digits as its factorization.

12830229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727805 (or 5727795 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 12830229440 in words is "twelve billion, eight hundred thirty million, two hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5727781 11455562 22911124 28638905 40094467 45822248 57277810 80188934 91644496 114555620 160377868 183288992 200472335 229111240 320755736 366577984 400944670 458222480 641511472 801889340 916444960 1283022944 1603778680 1832889920 2566045888 3207557360 6415114720 12830229440