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693840686841 = 322776572
BaseRepresentation
bin10100001100011000010…
…00001010111011111001
32110022220221122212111100
422012030020022323321
542331441203434331
61250425045522013
7101062006346211
oct12061410127371
92408827585440
10693840686841
1124828aa85545
12b2579a13309
1350576391243
14258212a5241
15130ad4a0ae6
hexa18c20aef9

693840686841 has 9 divisors (see below), whose sum is σ = 1002217934991. Its totient is φ = 462558791952.

The previous prime is 693840686831. The next prime is 693840686863. The reversal of 693840686841 is 148686048396.

The square root of 693840686841 is 832971.

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., 1443620025 + 692397066816 = 37995^2 + 832104^2 .

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

It is not a de Polignac number, because 693840686841 - 213 = 693840678649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (693840686831) 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, 2360085 + ... + 2637741.

Almost surely, 2693840686841 is an apocalyptic number.

693840686841 is the 832971-st square number.

693840686841 is the 416486-th centered octagonal number.

It is an amenable number.

693840686841 is a deficient number, since it is larger than the sum of its proper divisors (308377248150).

693840686841 is an frugal number, since it uses more digits than its factorization.

693840686841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555320 (or 277660 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 693840686841 in words is "six hundred ninety-three billion, eight hundred forty million, six hundred eighty-six thousand, eight hundred forty-one".

Divisors: 1 3 9 277657 832971 2498913 77093409649 231280228947 693840686841