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20515119361 = 1122924492
BaseRepresentation
bin10011000110110010…
…111110000100000001
31221221201211001011121
4103012302332010001
5314003332304421
613231410112241
71324245431422
oct230662760401
957851731147
1020515119361
118778282900
123b8657b681
131c1c3247a9
14dc8895649
158010bdd41
hex4c6cbe101

20515119361 has 27 divisors (see below), whose sum is σ = 23406193993. Its totient is φ = 17966896640.

The previous prime is 20515119323. The next prime is 20515119367. The reversal of 20515119361 is 16391151502.

The square root of 20515119361 is 143231.

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

It can be written as a sum of positive squares in 4 ways, for example, as 379509361 + 20135610000 = 19481^2 + 141900^2 .

It is not a de Polignac number, because 20515119361 - 229 = 19978248449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20515119367) 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, 45690465 + ... + 45690913.

Almost surely, 220515119361 is an apocalyptic number.

20515119361 is the 143231-st square number.

20515119361 is the 71616-th centered octagonal number.

It is an amenable number.

20515119361 is a deficient number, since it is larger than the sum of its proper divisors (2891074632).

20515119361 is an frugal number, since it uses more digits than its factorization.

20515119361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

Multiplying 20515119361 by its product of nonzero digits (8100), we get a square (166172466824100 = 128907902).

It can be divided in two parts, 20515 and 119361, that added together give a square (139876 = 3742).

The spelling of 20515119361 in words is "twenty billion, five hundred fifteen million, one hundred nineteen thousand, three hundred sixty-one".

Divisors: 1 11 29 121 319 449 841 3509 4939 9251 13021 54329 101761 143231 201601 377609 1575541 2217611 4153699 5846429 24393721 45690689 64310719 169546441 707417909 1865010851 20515119361