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12465612420016 = 247389286118537
BaseRepresentation
bin1011010101100110000001…
…1001100111001110110000
31122010200220221222202102111
42311121200121213032300
53113214033234420031
642302342344055104
72424416332203550
oct265314031471660
948120827882374
1012465612420016
113a76700262508
121493b04464494
136c566b4707a2
143114a5b93160
151693d4b461b1
hexb56606673b0

12465612420016 has 40 divisors (see below), whose sum is σ = 27673384995360. Its totient is φ = 5328671614464.

The previous prime is 12465612420013. The next prime is 12465612420071. The reversal of 12465612420016 is 61002421656421.

It is not an unprimeable number, because it can be changed into a prime (12465612420013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143015701 + ... + 143102836.

It is an arithmetic number, because the mean of its divisors is an integer number (691834624884).

Almost surely, 212465612420016 is an apocalyptic number.

12465612420016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12465612420016 is an abundant number, since it is smaller than the sum of its proper divisors (15207772575344).

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

12465612420016 is a wasteful number, since it uses less digits than its factorization.

12465612420016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286118941 (or 286118935 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 12465612420016 in words is "twelve trillion, four hundred sixty-five billion, six hundred twelve million, four hundred twenty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 389 778 1556 2723 3112 5446 6224 10892 21784 43568 286118537 572237074 1144474148 2002829759 2288948296 4005659518 4577896592 8011319036 16022638072 32045276144 111300110893 222600221786 445200443572 779100776251 890400887144 1558201552502 1780801774288 3116403105004 6232806210008 12465612420016