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3672376513 = 131818211901
BaseRepresentation
bin1101101011100100…
…0000010011000001
3100110221020001111221
43122321000103001
530010112022023
61404223435041
7160001454031
oct33271002301
910427201457
103672376513
111614a62913
12865a55a81
13466aa1570
1426ba2d8c1
1516760b85d
hexdae404c1

3672376513 has 16 divisors (see below), whose sum is σ = 3983655312. Its totient is φ = 3365280000.

The previous prime is 3672376511. The next prime is 3672376553. The reversal of 3672376513 is 3156732763.

It can be written as a sum of positive squares in 8 ways, for example, as 2251312704 + 1421063809 = 47448^2 + 37697^2 .

It is a cyclic number.

It is not a de Polignac number, because 3672376513 - 21 = 3672376511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3672376513.

It is not an unprimeable number, because it can be changed into a prime (3672376511) 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 in 15 ways as a sum of consecutive naturals, for example, 1930863 + ... + 1932763.

It is an arithmetic number, because the mean of its divisors is an integer number (248978457).

Almost surely, 23672376513 is an apocalyptic number.

It is an amenable number.

3672376513 is a deficient number, since it is larger than the sum of its proper divisors (311278799).

3672376513 is a wasteful number, since it uses less digits than its factorization.

3672376513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916.

The product of its digits is 476280, while the sum is 43.

The square root of 3672376513 is about 60600.1362457214. The cubic root of 3672376513 is about 1542.8216824918.

The spelling of 3672376513 in words is "three billion, six hundred seventy-two million, three hundred seventy-six thousand, five hundred thirteen".

Divisors: 1 13 181 821 1901 2353 10673 24713 148601 344081 1560721 1931813 4473053 20289373 282490501 3672376513