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12477478280 = 235738275167
BaseRepresentation
bin10111001111011011…
…10011010110001000
31012012120120120102012
423213231303112020
5201023213301110
65422043355052
7621126546461
oct134755632610
935176516365
1012477478280
115323236123
122502822a88
13123b062757
148651cdd68
154d063a905
hex2e7b73588

12477478280 has 64 divisors (see below), whose sum is σ = 28498832640. Its totient is φ = 4915717632.

The previous prime is 12477478187. The next prime is 12477478283. The reversal of 12477478280 is 8287477421.

It is not an unprimeable number, because it can be changed into a prime (12477478283) 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 15 ways as a sum of consecutive naturals, for example, 2412257 + ... + 2417423.

It is an arithmetic number, because the mean of its divisors is an integer number (445294260).

Almost surely, 212477478280 is an apocalyptic number.

12477478280 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 12477478280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249416320).

12477478280 is an abundant number, since it is smaller than the sum of its proper divisors (16021354360).

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

12477478280 is a wasteful number, since it uses less digits than its factorization.

12477478280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 50.

The spelling of 12477478280 in words is "twelve billion, four hundred seventy-seven million, four hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 827 1460 1654 2920 3308 4135 5167 6616 8270 10334 16540 20668 25835 33080 41336 51670 60371 103340 120742 206680 241484 301855 377191 482968 603710 754382 1207420 1508764 1885955 2414840 3017528 3771910 4273109 7543820 8546218 15087640 17092436 21365545 34184872 42731090 85462180 170924360 311936957 623873914 1247747828 1559684785 2495495656 3119369570 6238739140 12477478280