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690881803249 = 112192412972
BaseRepresentation
bin10100000110110111100…
…00111011001111110001
32110001021202000000021011
422003123300323033301
542304411220200444
61245215310430521
7100625460301351
oct12033360731761
92401252000234
10690881803249
11247001848500
12b1a92b02441
13501c4374751
1425620322b61
1512e8882e734
hexa0dbc3b3f1

690881803249 has 81 divisors (see below), whose sum is σ = 830052167553. Its totient is φ = 574520601600.

The previous prime is 690881803219. The next prime is 690881803277. The reversal of 690881803249 is 942308188096.

The square root of 690881803249 is 831193.

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

It can be written as a sum of positive squares in 4 ways, for example, as 230068919025 + 460812884224 = 479655^2 + 678832^2 .

It is not a de Polignac number, because 690881803249 - 25 = 690881803217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 690881803193 and 690881803202.

It is not an unprimeable number, because it can be changed into a prime (690881803219) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7122492769 + ... + 7122492865.

Almost surely, 2690881803249 is an apocalyptic number.

690881803249 is the 831193-rd square number.

690881803249 is the 415597-th centered octagonal number.

It is an amenable number.

690881803249 is a deficient number, since it is larger than the sum of its proper divisors (139170364304).

690881803249 is an equidigital number, since it uses as much as digits as its factorization.

690881803249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 690881803249 in words is "six hundred ninety billion, eight hundred eighty-one million, eight hundred three thousand, two hundred forty-nine".

Divisors: 1 11 19 41 97 121 209 361 451 779 1067 1681 1843 2299 3971 3977 4961 8569 9409 11737 14801 18491 20273 31939 35017 43681 43747 75563 94259 103499 162811 163057 178771 203401 223003 351329 385187 385769 481217 606841 831193 1138489 1435697 1790921 1793627 1966481 3098083 3396649 3864619 4237057 4243459 6675251 7329611 9143123 15792667 15816529 19729897 21631291 34078913 37363139 46678049 58863577 73427761 80625721 139262609 173719337 173981819 300514051 374868043 410994529 647499347 886882931 1531888699 1913800009 3305654561 5709766969 7122492817 16850775689 36362200171 62807436659 690881803249