Search a number
-
+
797293625569 = 7219926412
BaseRepresentation
bin10111001101000100110…
…01110100000011100001
32211012221202121200012121
423212202121310003201
5101030324132004234
61410134401224241
7111413451666400
oct13464231640341
92735852550177
10797293625569
11288148514611
1210a630032081
135a25237069c
142a836b53637
1515b158ed4b4
hexb9a26740e1

797293625569 has 27 divisors (see below), whose sum is σ = 933604534611. Its totient is φ = 678899612160.

The previous prime is 797293625507. The next prime is 797293625573. The reversal of 797293625569 is 965526392797.

The square root of 797293625569 is 892913.

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., 719675665569 + 77617960000 = 848337^2 + 278600^2 .

It is not a de Polignac number, because 797293625569 - 217 = 797293494497 is a prime.

It is a super-2 number, since 2×7972936255692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 797293625498 and 797293625507.

It is not an unprimeable number, because it can be changed into a prime (797293625669) 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, 1243827489 + ... + 1243828129.

Almost surely, 2797293625569 is an apocalyptic number.

797293625569 is the 892913-rd square number.

797293625569 is the 446457-th centered octagonal number.

It is an amenable number.

797293625569 is a deficient number, since it is larger than the sum of its proper divisors (136310909042).

797293625569 is an frugal number, since it uses more digits than its factorization.

797293625569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 70.

The spelling of 797293625569 in words is "seven hundred ninety-seven billion, two hundred ninety-three million, six hundred twenty-five thousand, five hundred sixty-nine".

Divisors: 1 7 49 199 641 1393 4487 9751 31409 39601 127559 277207 410881 892913 1940449 2876167 6250391 20133169 25384241 81765319 177689687 572357233 1243827809 4006500631 16271298481 113899089367 797293625569