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2681768564 = 22172101103223
BaseRepresentation
bin1001111111011000…
…1000101001110100
320220220012221212122
42133312020221310
520443013043224
61122035335112
7123312441146
oct23766105164
96826187778
102681768564
111156874462
1262a151498
133397a2307
141b6248c96
1510a68315e
hex9fd88a74

2681768564 has 72 divisors (see below), whose sum is σ = 5106436608. Its totient is φ = 1231833600.

The previous prime is 2681768563. The next prime is 2681768611. The reversal of 2681768564 is 4658671862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681768563) 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 23 ways as a sum of consecutive naturals, for example, 12025757 + ... + 12025979.

Almost surely, 22681768564 is an apocalyptic number.

It is an amenable number.

2681768564 is a deficient number, since it is larger than the sum of its proper divisors (2424668044).

2681768564 is a wasteful number, since it uses less digits than its factorization.

2681768564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The square root of 2681768564 is about 51785.7950021046. The cubic root of 2681768564 is about 1389.3353902281.

The spelling of 2681768564 in words is "two billion, six hundred eighty-one million, seven hundred sixty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 17 34 68 101 103 202 206 223 289 404 412 446 578 892 1156 1717 1751 3434 3502 3791 6868 7004 7582 10403 15164 20806 22523 22969 29189 29767 41612 45046 45938 58378 59534 64447 90092 91876 116756 119068 128894 176851 257788 353702 382891 390473 707404 765782 780946 1531564 1561892 2319869 3006467 4639738 6012934 6509147 6638041 9279476 12025868 13018294 13276082 26036588 26552164 39437773 78875546 157751092 670442141 1340884282 2681768564