Search a number
-
+
45660424489 = 3126121132
BaseRepresentation
bin101010100001100100…
…101100100100101001
311100212011010220010221
4222201210230210221
51222003032040424
632550501210041
73204336130051
oct524144544451
9140764126127
1045660424489
1118401134809
128a23700921
1343c89a4c74
1422d2264561
1512c38e49e4
hexaa192c929

45660424489 has 27 divisors (see below), whose sum is σ = 48395234277. Its totient is φ = 43078492800.

The previous prime is 45660424477. The next prime is 45660424501. The reversal of 45660424489 is 98442406654.

It is a happy number.

The square root of 45660424489 is 213683.

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

It is an interprime number because it is at equal distance from previous prime (45660424477) and next prime (45660424501).

It can be written as a sum of positive squares in 4 ways, for example, as 41292272025 + 4368152464 = 203205^2 + 66092^2 .

It is not a de Polignac number, because 45660424489 - 27 = 45660424361 is a prime.

It is a super-2 number, since 2×456604244892 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45660424409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 404074497 + ... + 404074609.

Almost surely, 245660424489 is an apocalyptic number.

45660424489 is the 213683-rd square number.

45660424489 is the 106842-nd centered octagonal number.

It is an amenable number.

45660424489 is a deficient number, since it is larger than the sum of its proper divisors (2734809788).

45660424489 is an frugal number, since it uses more digits than its factorization.

45660424489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 45660424489 in words is "forty-five billion, six hundred sixty million, four hundred twenty-four thousand, four hundred eighty-nine".

Divisors: 1 31 61 113 961 1891 3503 3721 6893 12769 58621 108593 115351 213683 395839 420473 778909 3575881 6624173 12271009 13034663 24146179 47513449 404074553 748531549 1472916919 45660424489