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12263364420 = 2235349585643
BaseRepresentation
bin10110110101111010…
…00001011101000100
31011122122200110102020
423122331001131010
5200103410130140
65344514243140
7612616610016
oct133275013504
934578613366
1012263364420
11522339321a
122462b864b0
1312058a6268
148449b61b6
154bb9446d0
hex2daf41744

12263364420 has 48 divisors (see below), whose sum is σ = 34435867200. Its totient is φ = 3260854656.

The previous prime is 12263364371. The next prime is 12263364461. The reversal of 12263364420 is 2446336221.

12263364420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 271882 + ... + 313761.

It is an arithmetic number, because the mean of its divisors is an integer number (717413900).

Almost surely, 212263364420 is an apocalyptic number.

12263364420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12263364420 is an abundant number, since it is smaller than the sum of its proper divisors (22172502780).

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

12263364420 is a wasteful number, since it uses less digits than its factorization.

12263364420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586004 (or 586002 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 12263364420 in words is "twelve billion, two hundred sixty-three million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 1047 1396 1745 2094 3490 4188 5235 6980 10470 20940 585643 1171286 1756929 2342572 2928215 3513858 5856430 7027716 8784645 11712860 17569290 35138580 204389407 408778814 613168221 817557628 1021947035 1226336442 2043894070 2452672884 3065841105 4087788140 6131682210 12263364420