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5681993641 = 43217532
BaseRepresentation
bin1010100101010110…
…00101011110101001
3112122222200011221221
411102223011132221
543114042244031
62335452502041
7260543102062
oct52253053651
915588604857
105681993641
112456378a15
121126a7a921
136c723511c
143bc8ad569
15233c6da11
hex152ac57a9

5681993641 has 9 divisors (see below), whose sum is σ = 5820526359. Its totient is φ = 5546688336.

The previous prime is 5681993633. The next prime is 5681993659. The reversal of 5681993641 is 1463991865.

The square root of 5681993641 is 75379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 160909225 + 5521084416 = 12685^2 + 74304^2 .

It is not a de Polignac number, because 5681993641 - 23 = 5681993633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5681993621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3240421 + ... + 3242173.

It is an arithmetic number, because the mean of its divisors is an integer number (646725151).

Almost surely, 25681993641 is an apocalyptic number.

5681993641 is the 75379-th square number.

5681993641 is the 37690-th centered octagonal number.

It is an amenable number.

5681993641 is a deficient number, since it is larger than the sum of its proper divisors (138532718).

5681993641 is an frugal number, since it uses more digits than its factorization.

5681993641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 1796 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The cubic root of 5681993641 is about 1784.4330066300.

The spelling of 5681993641 in words is "five billion, six hundred eighty-one million, nine hundred ninety-three thousand, six hundred forty-one".

Divisors: 1 43 1753 1849 75379 3073009 3241297 132139387 5681993641