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10574214561 = 3215122272
BaseRepresentation
bin10011101100100010…
…11011010110100001
31000021221020202102100
421312101123112201
5133123444331221
64505134041013
7523016224611
oct116621332641
930257222370
1010574214561
1145369609a9
122071349169
13cc69584c1
14724516a41
1541d4d5926
hex27645b5a1

10574214561 has 27 divisors (see below), whose sum is σ = 15443719473. Its totient is φ = 6971941800.

The previous prime is 10574214559. The next prime is 10574214589. The reversal of 10574214561 is 16541247501.

10574214561 = 13 + 23 + ... + 4533.

The square root of 10574214561 is 102831.

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

10574214561 is a `hidden beast` number, since 1 + 0 + 5 + 74 + 21 + 4 + 561 = 666.

10574214561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10574214561 - 21 = 10574214559 is a prime.

It is a super-2 number, since 2×105742145612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10574214551) 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 26 ways as a sum of consecutive naturals, for example, 46582330 + ... + 46582556.

Almost surely, 210574214561 is an apocalyptic number.

10574214561 is the 102831-st square number.

10574214561 is the 51416-th centered octagonal number.

It is an amenable number.

10574214561 is a deficient number, since it is larger than the sum of its proper divisors (4869504912).

10574214561 is an frugal number, since it uses more digits than its factorization.

10574214561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 10574214561 by its sum of digits (36), we get a square (380671724196 = 6169862).

The spelling of 10574214561 in words is "ten billion, five hundred seventy-four million, two hundred fourteen thousand, five hundred sixty-one".

Divisors: 1 3 9 151 227 453 681 1359 2043 22801 34277 51529 68403 102831 154587 205209 308493 463761 5175827 7780879 15527481 23342637 46582443 70027911 1174912729 3524738187 10574214561