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6946722409 = 11275772
BaseRepresentation
bin1100111100000111…
…01001001001101001
3122221010111001200011
412132003221021221
5103211330104114
63105152211521
7334101111004
oct63603511151
918833431604
106946722409
112a45275400
12141a539ba1
13869270a43
1449c84c53b
152a9ce31c4
hex19e0e9269

6946722409 has 9 divisors (see below), whose sum is σ = 7636661431. Its totient is φ = 6314368720.

The previous prime is 6946722401. The next prime is 6946722439. The reversal of 6946722409 is 9042276496.

The square root of 6946722409 is 83347.

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., 45765225 + 6900957184 = 6765^2 + 83072^2 .

It is not a de Polignac number, because 6946722409 - 23 = 6946722401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6946722401) 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, 913029 + ... + 920605.

Almost surely, 26946722409 is an apocalyptic number.

6946722409 is the 83347-th square number.

6946722409 is the 41674-th centered octagonal number.

It is an amenable number.

6946722409 is a deficient number, since it is larger than the sum of its proper divisors (689939022).

6946722409 is an frugal number, since it uses more digits than its factorization.

6946722409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15176 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The cubic root of 6946722409 is about 1908.0656575942.

Multiplying 6946722409 by its sum of digits (49), we get a square (340389398041 = 5834292).

The spelling of 6946722409 in words is "six billion, nine hundred forty-six million, seven hundred twenty-two thousand, four hundred nine".

Divisors: 1 11 121 7577 83347 916817 57410929 631520219 6946722409