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20355584929 = 1426732
BaseRepresentation
bin10010111101010010…
…011001001110100001
31221112121121212001221
4102331102121032201
5313142012204204
613203510455041
71320300421441
oct227522311641
957477555057
1020355584929
1186a6219269
123b41064481
131bc5267c14
14db1608121
157e20a9654
hex4bd4993a1

20355584929 has 3 divisors (see below), whose sum is σ = 20355727603. Its totient is φ = 20355442256.

The previous prime is 20355584911. The next prime is 20355584939. The reversal of 20355584929 is 92948555302.

The square root of 20355584929 is 142673.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92948555302 = 246474277651.

It can be written as a sum of positive squares in only one way, i.e., 11053368225 + 9302216704 = 105135^2 + 96448^2 .

It is not a de Polignac number, because 20355584929 - 211 = 20355582881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20355584939) 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 2 ways as a sum of consecutive naturals, for example, 71337 + ... + 214009.

Almost surely, 220355584929 is an apocalyptic number.

20355584929 is the 142673-rd square number.

20355584929 is the 71337-th centered octagonal number.

It is an amenable number.

20355584929 is a deficient number, since it is larger than the sum of its proper divisors (142674).

20355584929 is an frugal number, since it uses more digits than its factorization.

20355584929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285346 (or 142673 counting only the distinct ones).

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

It can be divided in two parts, 20355 and 584929, that added together give a square (605284 = 7782).

The spelling of 20355584929 in words is "twenty billion, three hundred fifty-five million, five hundred eighty-four thousand, nine hundred twenty-nine".

Divisors: 1 142673 20355584929