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63052716609 = 32837012
BaseRepresentation
bin111010101110001111…
…000001101001000001
320000202020210212200100
4322232033001221001
52013112443412414
644544354313013
74361335151061
oct725617015101
9200666725610
1063052716609
1124816684253
1210278288769
135c3b03b48c
1430a209d3a1
15199075b609
hexeae3c1a41

63052716609 has 9 divisors (see below), whose sum is σ = 91077234339. Its totient is φ = 42034642200.

The previous prime is 63052716581. The next prime is 63052716611. The reversal of 63052716609 is 90661725036.

The square root of 63052716609 is 251103.

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

63052716609 is a `hidden beast` number, since 6 + 3 + 0 + 5 + 27 + 16 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 182169009 + 62870547600 = 13497^2 + 250740^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 63052716609 - 27 = 63052716481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63052716619) 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 8 ways as a sum of consecutive naturals, for example, 711459 + ... + 795159.

Almost surely, 263052716609 is an apocalyptic number.

63052716609 is the 251103-rd square number.

63052716609 is the 125552-nd centered octagonal number.

It is an amenable number.

63052716609 is a deficient number, since it is larger than the sum of its proper divisors (28024517730).

63052716609 is an frugal number, since it uses more digits than its factorization.

63052716609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167408 (or 83704 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 63052716609 in words is "sixty-three billion, fifty-two million, seven hundred sixteen thousand, six hundred nine".

Divisors: 1 3 9 83701 251103 753309 7005857401 21017572203 63052716609