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557215967961 = 36276472
BaseRepresentation
bin10000001101111001010…
…10001110101011011001
31222021021100011001000000
420012330222032223121
533112134241433321
61103552000003213
755154221402512
oct10067452165331
91867240131000
10557215967961
111a534a984034
128bbaa600509
1340711b7bb13
141cd8004ba09
15e763c52826
hex81bca8ead9

557215967961 has 21 divisors (see below), whose sum is σ = 835471992901. Its totient is φ = 371463875532.

The previous prime is 557215967927. The next prime is 557215967963. The reversal of 557215967961 is 169769512755.

The square root of 557215967961 is 746469.

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

557215967961 is a `hidden beast` number, since 5 + 572 + 1 + 59 + 6 + 7 + 9 + 6 + 1 = 666.

557215967961 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 557215967961 - 221 = 557213870809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (557215967963) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20140840 + ... + 20168486.

Almost surely, 2557215967961 is an apocalyptic number.

557215967961 is the 746469-th square number.

557215967961 is the 373235-th centered octagonal number.

It is an amenable number.

557215967961 is a deficient number, since it is larger than the sum of its proper divisors (278256024940).

557215967961 is an frugal number, since it uses more digits than its factorization.

557215967961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55312 (or 27650 counting only the distinct ones).

The product of its digits is 35721000, while the sum is 63.

The spelling of 557215967961 in words is "five hundred fifty-seven billion, two hundred fifteen million, nine hundred sixty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 27647 82941 248823 746469 2239407 6718221 20154663 764356609 2293069827 6879209481 20637628443 61912885329 185738655987 557215967961