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20742624529 = 112130932
BaseRepresentation
bin10011010100010110…
…110101010100010001
31222112120220111120221
4103110112311110101
5314440102441104
613310134233041
71333010253664
oct232426652421
958476814527
1020742624529
118884741900
12402a7b5781
131c574bc333
14100ab976db
1581605cc54
hex4d45b5511

20742624529 has 9 divisors (see below), whose sum is σ = 22801485819. Its totient is φ = 18855491160.

The previous prime is 20742624521. The next prime is 20742624547. The reversal of 20742624529 is 92542624702.

It is a happy number.

The square root of 20742624529 is 144023.

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., 18740241025 + 2002383504 = 136895^2 + 44748^2 .

It is not a de Polignac number, because 20742624529 - 23 = 20742624521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20742624521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1577707 + ... + 1590799.

Almost surely, 220742624529 is an apocalyptic number.

20742624529 is the 144023-rd square number.

20742624529 is the 72012-nd centered octagonal number.

It is an amenable number.

20742624529 is a deficient number, since it is larger than the sum of its proper divisors (2058861290).

20742624529 is an frugal number, since it uses more digits than its factorization.

20742624529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26208 (or 13104 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 20742624529 in words is "twenty billion, seven hundred forty-two million, six hundred twenty-four thousand, five hundred twenty-nine".

Divisors: 1 11 121 13093 144023 1584253 171426649 1885693139 20742624529