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475670916721 = 72112134532
BaseRepresentation
bin1101110110000000011…
…00100010111001110001
31200110210022202020011001
412323000030202321301
530243133223313341
61002304210322001
746236366036400
oct6730014427161
91613708666131
10475670916721
11173804917100
1278231289301
1335b17910000
1419046003637
15c58ecdad31
hex6ec0322e71

475670916721 has 135 divisors (see below), whose sum is σ = 671555933223. Its totient is φ = 335685430080.

The previous prime is 475670916713. The next prime is 475670916727. The reversal of 475670916721 is 127619076574.

The square root of 475670916721 is 689689.

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

It can be written as a sum of positive squares in 7 ways, for example, as 450314813025 + 25356103696 = 671055^2 + 159236^2 .

It is not a de Polignac number, because 475670916721 - 23 = 475670916713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (475670916727) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8974922931 + ... + 8974922983.

Almost surely, 2475670916721 is an apocalyptic number.

475670916721 is the 689689-th square number.

475670916721 is the 344845-th centered octagonal number.

It is an amenable number.

475670916721 is a deficient number, since it is larger than the sum of its proper divisors (195885016502).

475670916721 is an frugal number, since it uses more digits than its factorization.

475670916721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 475670916721 in words is "four hundred seventy-five billion, six hundred seventy million, nine hundred sixteen thousand, seven hundred twenty-one".

Divisors: 1 7 11 13 49 53 77 91 121 143 169 371 539 583 637 689 847 1001 1183 1573 1859 2197 2597 2809 4081 4823 5929 6413 7007 7579 8281 8957 11011 13013 15379 19663 20449 24167 28561 28567 30899 33761 36517 44891 53053 62699 77077 83369 91091 98527 107653 116441 137641 143143 169169 199927 216293 255619 265837 314171 314237 339889 371371 401687 438893 474721 583583 689689 815087 1002001 1083797 1184183 1280851 1399489 1513733 1514051 1789333 1860859 2199197 2379223 2811809 3323047 3455881 4085081 4418557 4827823 5221931 5705609 6171373 7586579 8965957 10596131 13026013 14089361 15394379 16651063 16654561 19682663 23261329 24191167 30929899 36553517 43199611 53106053 57441241 62761699 67885103 74172917 80227849 98625527 116557441 169338169 183161693 216509293 255874619 302397277 402088687 475195721 561594943 690378689 746736133 815902087 882506339 1282131851 2814620809 3326370047 3931164601 5227152931 6177544373 8974922957 9707569729 36590070517 43242810611 67952988103 475670916721