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3136642641 = 3211231377533
BaseRepresentation
bin1011101011110101…
…0101111001010001
322002121010221210200
42322331111321101
522410440031031
61235125045413
7140505010506
oct27275257121
98077127720
103136642641
11136a60a050
12736556869
133acab7682
1421a8154ad
151355858e6
hexbaf55e51

3136642641 has 24 divisors (see below), whose sum is σ = 5157487296. Its totient is φ = 1818342240.

The previous prime is 3136642633. The next prime is 3136642709. The reversal of 3136642641 is 1462466313.

3136642641 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 6 + 4 + 2 + 641 = 666.

It is not a de Polignac number, because 3136642641 - 23 = 3136642633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3136642596 and 3136642605.

It is not an unprimeable number, because it can be changed into a prime (3136642601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686490 + ... + 691043.

It is an arithmetic number, because the mean of its divisors is an integer number (214895304).

Almost surely, 23136642641 is an apocalyptic number.

It is an amenable number.

3136642641 is a deficient number, since it is larger than the sum of its proper divisors (2020844655).

3136642641 is a wasteful number, since it uses less digits than its factorization.

3136642641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377573 (or 1377570 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3136642641 is about 56005.7375721452. The cubic root of 3136642641 is about 1463.8222610187.

The spelling of 3136642641 in words is "three billion, one hundred thirty-six million, six hundred forty-two thousand, six hundred forty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 1377533 4132599 12397797 15152863 31683259 45458589 95049777 136375767 285149331 348515849 1045547547 3136642641