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455326698841 = 744722932
BaseRepresentation
bin1101010000000111001…
…01100000110101011001
31121112021111111212201221
412220003211200311121
524430002113330331
6545101343212041
744616264040000
oct6500345406531
91545244455657
10455326698841
111661150620a3
12742b3ba7021
1333c24b24c71
1418076117c37
15bc9dc29711
hex6a03960d59

455326698841 has 45 divisors (see below), whose sum is σ = 544583727551. Its totient is φ = 380672524176.

The previous prime is 455326698833. The next prime is 455326698851. The reversal of 455326698841 is 148896623554.

The square root of 455326698841 is 674779.

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., 430801886025 + 24524812816 = 656355^2 + 156604^2 .

It is not a de Polignac number, because 455326698841 - 23 = 455326698833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 455326698841.

It is not an unprimeable number, because it can be changed into a prime (455326698811) 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 44 ways as a sum of consecutive naturals, for example, 1554015891 + ... + 1554016183.

Almost surely, 2455326698841 is an apocalyptic number.

455326698841 is the 674779-th square number.

455326698841 is the 337390-th centered octagonal number.

It is an amenable number.

455326698841 is a deficient number, since it is larger than the sum of its proper divisors (89257028710).

455326698841 is an frugal number, since it uses more digits than its factorization.

455326698841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 347 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 61.

The spelling of 455326698841 in words is "four hundred fifty-five billion, three hundred twenty-six million, six hundred ninety-eight thousand, eight hundred forty-one".

Divisors: 1 7 47 49 293 329 343 2051 2209 2303 2401 13771 14357 15463 16121 85849 96397 100499 108241 112847 600943 647237 674779 703493 757687 4034903 4206601 4530659 4723453 5303809 28244321 29446207 31714613 33064171 189640441 197710247 206123449 222002291 1327483087 1383971729 1554016037 9292381609 9687802103 65046671263 455326698841