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2012412564 = 2232222125169
BaseRepresentation
bin111011111110010…
…1111101010010100
312012020201011001200
41313330233222110
513110134200224
6531404552500
7100604140011
oct16774575224
95166634050
102012412564
11942a55388
12481b52730
13260c02086
141513aa708
15bba155c9
hex77f2fa94

2012412564 has 36 divisors (see below), whose sum is σ = 5089424340. Its totient is φ = 670475520.

The previous prime is 2012412557. The next prime is 2012412581. The reversal of 2012412564 is 4652142102.

It can be written as a sum of positive squares in 2 ways, for example, as 916272900 + 1096139664 = 30270^2 + 33108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67372 + ... + 92540.

Almost surely, 22012412564 is an apocalyptic number.

It is an amenable number.

2012412564 is an abundant number, since it is smaller than the sum of its proper divisors (3077011776).

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

2012412564 is a wasteful number, since it uses less digits than its factorization.

2012412564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27400 (or 27395 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2012412564 is about 44859.9215781749. The cubic root of 2012412564 is about 1262.5221513481.

Adding to 2012412564 its reverse (4652142102), we get a palindrome (6664554666).

The spelling of 2012412564 in words is "two billion, twelve million, four hundred twelve thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2221 4442 6663 8884 13326 19989 25169 26652 39978 50338 75507 79956 100676 151014 226521 302028 453042 906084 55900349 111800698 167701047 223601396 335402094 503103141 670804188 1006206282 2012412564