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690692304241 = 172192312832
BaseRepresentation
bin10100000110100000111…
…10000010110101110001
32110000210112102110111101
422003100132002311301
542304014212213431
61245144421044401
7100620666501202
oct12032036026561
92400715373441
10690692304241
11246a14888055
12b1a3b556701
1350194026064
14256030b55a9
1512e76d9b961
hexa0d0782d71

690692304241 has 81 divisors (see below), whose sum is σ = 809901614763. Its totient is φ = 588802849920.

The previous prime is 690692304229. The next prime is 690692304251. The reversal of 690692304241 is 142403296096.

The square root of 690692304241 is 831079.

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., 537736223025 + 152956081216 = 733305^2 + 391096^2 .

It is not a de Polignac number, because 690692304241 - 217 = 690692173169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 690692304191 and 690692304200.

It is not an unprimeable number, because it can be changed into a prime (690692304221) 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 80 ways as a sum of consecutive naturals, for example, 8321593986 + ... + 8321594068.

Almost surely, 2690692304241 is an apocalyptic number.

690692304241 is the 831079-th square number.

690692304241 is the 415540-th centered octagonal number.

It is an amenable number.

690692304241 is a deficient number, since it is larger than the sum of its proper divisors (119209310522).

690692304241 is an equidigital number, since it uses as much as digits as its factorization.

690692304241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 690692304241 in words is "six hundred ninety billion, six hundred ninety-two million, three hundred four thousand, two hundred forty-one".

Divisors: 1 17 19 31 83 289 323 361 527 589 961 1411 1577 2573 5491 6137 6889 8959 10013 11191 16337 18259 23987 26809 29963 43741 48887 79763 104329 117113 130891 170221 190247 213559 277729 310403 346921 455753 509371 743597 831079 928853 1355971 1515497 1990921 2225147 2486929 3234199 3630503 4057621 5276851 5897657 6620329 8659307 14128343 15790501 23051507 25763449 28794443 37827499 42277793 61718551 68979557 77094799 100260169 112545593 125786251 268438517 437978633 489505531 718722481 1172652469 1310611583 1913275081 2138366267 2389938769 8321594027 22280396911 36352226539 40628959073 690692304241