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12805547800 = 23521921115971
BaseRepresentation
bin10111110110100010…
…10010011100011000
31020001102220020012011
423323101102130120
5202211210012200
65514403155304
7632222234413
oct137321223430
936042806164
1012805547800
115481441661
122594675b34
13129100a926
148969ccb7a
154ee3415ba
hex2fb452718

12805547800 has 96 divisors (see below), whose sum is σ = 31490395200. Its totient is φ = 4829328000.

The previous prime is 12805547779. The next prime is 12805547813. The reversal of 12805547800 is 874550821.

12805547800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793815 + ... + 809785.

It is an arithmetic number, because the mean of its divisors is an integer number (328024950).

Almost surely, 212805547800 is an apocalyptic number.

12805547800 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 12805547800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745197600).

12805547800 is an abundant number, since it is smaller than the sum of its proper divisors (18684847400).

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

12805547800 is a wasteful number, since it uses less digits than its factorization.

12805547800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The spelling of 12805547800 in words is "twelve billion, eight hundred five million, five hundred forty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 211 380 422 475 760 844 950 1055 1688 1900 2110 3800 4009 4220 5275 8018 8440 10550 15971 16036 20045 21100 31942 32072 40090 42200 63884 79855 80180 100225 127768 159710 160360 200450 303449 319420 399275 400900 606898 638840 798550 801800 1213796 1517245 1597100 2427592 3034490 3194200 3369881 6068980 6739762 7586225 12137960 13479524 15172450 16849405 26959048 30344900 33698810 60689800 64027739 67397620 84247025 128055478 134795240 168494050 256110956 320138695 336988100 512221912 640277390 673976200 1280554780 1600693475 2561109560 3201386950 6402773900 12805547800