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10443893616 = 24321314393877
BaseRepresentation
bin10011011101000000…
…10010101101110000
3222221212000202200200
421232200102231300
5132342114043431
64444200515200
7516544426302
oct115640225560
928855022620
1010443893616
11447a33a942
12203577bb00
13ca5959910
147110b1972
15411d41ee6
hex26e812b70

10443893616 has 120 divisors (see below), whose sum is σ = 31506733440. Its totient is φ = 3210444288.

The previous prime is 10443893573. The next prime is 10443893617. The reversal of 10443893616 is 61639834401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10443893617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2691870 + ... + 2695746.

It is an arithmetic number, because the mean of its divisors is an integer number (262556112).

Almost surely, 210443893616 is an apocalyptic number.

10443893616 is a gapful number since it is divisible by the number (16) 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 10443893616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753366720).

10443893616 is an abundant number, since it is smaller than the sum of its proper divisors (21062839824).

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

10443893616 is a wasteful number, since it uses less digits than its factorization.

10443893616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10443893616 in words is "ten billion, four hundred forty-three million, eight hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1439 1872 2878 3877 4317 5756 7754 8634 11512 11631 12951 15508 17268 18707 23024 23262 25902 31016 34536 34893 37414 46524 50401 51804 56121 62032 69072 69786 74828 93048 100802 103608 112242 139572 149656 151203 168363 186096 201604 207216 224484 279144 299312 302406 336726 403208 448968 453609 558288 604812 673452 806416 897936 907218 1209624 1346904 1814436 2419248 2693808 3628872 5579003 7257744 11158006 16737009 22316012 33474018 44632024 50211027 66948036 72527039 89264048 100422054 133896072 145054078 200844108 217581117 267792144 290108156 401688216 435162234 580216312 652743351 803376432 870324468 1160432624 1305486702 1740648936 2610973404 3481297872 5221946808 10443893616