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4045260564 = 2232112368349
BaseRepresentation
bin1111000100011101…
…1100011100010100
3101102220212112021100
43301013130130110
531241041314224
61505223550100
7202150101402
oct36107343424
911386775240
104045260564
111796498154
1294a8bb330
134c610a807
142a5376472
1518a215ac9
hexf11dc714

4045260564 has 18 divisors (see below), whose sum is σ = 10225519850. Its totient is φ = 1348420176.

The previous prime is 4045260553. The next prime is 4045260599. The reversal of 4045260564 is 4650625404.

4045260564 is a `hidden beast` number, since 4 + 0 + 45 + 2 + 605 + 6 + 4 = 666.

4045260564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3916256400 + 129004164 = 62580^2 + 11358^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 112368349 = 4045260564 / (4 + 0 + 4 + 5 + 2 + 6 + 0 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56184139 + ... + 56184210.

Almost surely, 24045260564 is an apocalyptic number.

It is an amenable number.

4045260564 is an abundant number, since it is smaller than the sum of its proper divisors (6180259286).

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

4045260564 is a wasteful number, since it uses less digits than its factorization.

4045260564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112368359 (or 112368354 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4045260564 is about 63602.3628806352. The cubic root of 4045260564 is about 1593.3658330157.

Adding to 4045260564 its reverse (4650625404), we get a palindrome (8695885968).

The spelling of 4045260564 in words is "four billion, forty-five million, two hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 112368349 224736698 337105047 449473396 674210094 1011315141 1348420188 2022630282 4045260564