Search a number
-
+
55045136689 = 1723723732
BaseRepresentation
bin110011010000111100…
…100010000100110001
312021002012010200002021
4303100330202010301
51400213023333224
641142024151441
73656032641034
oct632074420461
9167065120067
1055045136689
11213875a9a04
12a802608581
1352630731ca
1429427c101b
1516727651e4
hexcd0f22131

55045136689 has 27 divisors (see below), whose sum is σ = 60258181347. Its totient is φ = 50271853824.

The previous prime is 55045136681. The next prime is 55045136711. The reversal of 55045136689 is 98663154055.

The square root of 55045136689 is 234617.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4223025 + 55040913664 = 2055^2 + 234608^2 .

It is not a de Polignac number, because 55045136689 - 23 = 55045136681 is a prime.

It is a super-2 number, since 2×550451366892 (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 (55045136681) 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, 147573907 + ... + 147574279.

Almost surely, 255045136689 is an apocalyptic number.

55045136689 is the 234617-th square number.

55045136689 is the 117309-th centered octagonal number.

It is an amenable number.

55045136689 is a deficient number, since it is larger than the sum of its proper divisors (5213044658).

55045136689 is an frugal number, since it uses more digits than its factorization.

55045136689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 55045136689 in words is "fifty-five billion, forty-five million, one hundred thirty-six thousand, six hundred eighty-nine".

Divisors: 1 17 37 289 373 629 1369 6341 10693 13801 23273 107797 139129 234617 395641 510637 2365193 3988489 5147773 8680829 40208281 87512141 147574093 190467601 1487706397 3237949217 55045136689