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12000445664 = 25375013927
BaseRepresentation
bin10110010110100100…
…00100010011100000
31010222022221210200112
423023102010103200
5144034103230124
65302443110452
7603245051024
oct131322042340
933868853615
1012000445664
1150a8a36499
1223aab12428
13119328c62c
1481bad6384
154a380c90e
hex2cb4844e0

12000445664 has 12 divisors (see below), whose sum is σ = 23625877464. Its totient is φ = 6000222816.

The previous prime is 12000445663. The next prime is 12000445669. The reversal of 12000445664 is 46654400021.

It is a super-2 number, since 2×120004456642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 375013927 = 12000445664 / (1 + 2 + 0 + 0 + 0 + 4 + 4 + 5 + 6 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 12000445664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000445663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 187506932 + ... + 187506995.

It is an arithmetic number, because the mean of its divisors is an integer number (1968823122).

Almost surely, 212000445664 is an apocalyptic number.

It is an amenable number.

12000445664 is a deficient number, since it is larger than the sum of its proper divisors (11625431800).

12000445664 is an equidigital number, since it uses as much as digits as its factorization.

12000445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375013937 (or 375013929 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 12000445664 its reverse (46654400021), we get a palindrome (58654845685).

The spelling of 12000445664 in words is "twelve billion, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 375013927 750027854 1500055708 3000111416 6000222832 12000445664