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21831536690929 = 72194434
BaseRepresentation
bin1001111011011000011001…
…11111010100011011110001
32212022002000022212120011101
410331230030333110123301
510330141441343102204
6114233134113444401
74412163555023200
oct475541477243361
985262008776141
1021831536690929
116a57780351359
122547121570701
13c2492208b8b4
1455691b1a9237
1527cd4d3adea4
hex13db0cfd46f1

21831536690929 has 75 divisors (see below), whose sum is σ = 27444995536377. Its totient is φ = 17315588464776.

The previous prime is 21831536690881. The next prime is 21831536690933. The reversal of 21831536690929 is 92909663513812.

The square root of 21831536690929 is 4672423.

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

It is not a de Polignac number, because 21831536690929 - 217 = 21831536559857 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 21831536690929 = 73533 + 277783 = 130723 + 269613.

It is not an unprimeable number, because it can be changed into a prime (21831536690939) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 507710155582 + ... + 507710155624.

Almost surely, 221831536690929 is an apocalyptic number.

21831536690929 is the 4672423-rd square number.

21831536690929 is the 2336212-nd centered octagonal number.

It is an amenable number.

21831536690929 is a deficient number, since it is larger than the sum of its proper divisors (5613458845448).

21831536690929 is an frugal number, since it uses more digits than its factorization.

21831536690929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 64.

The spelling of 21831536690929 in words is "twenty-one trillion, eight hundred thirty-one billion, five hundred thirty-six million, six hundred ninety thousand, nine hundred twenty-nine".

Divisors: 1 7 19 43 49 133 301 361 817 931 1849 2107 2527 5719 6859 12943 15523 17689 35131 40033 48013 79507 90601 108661 130321 245917 294937 336091 556549 667489 760627 912247 1510633 1721419 2064559 3418801 3895843 4672423 5603803 6385729 10574431 12682291 14451913 23931607 28702027 32706961 39226621 64957219 74021017 88776037 167521249 200914189 240963529 274586347 454700533 545338513 621432259 1234187161 1406399323 1686744703 3182903731 3817369591 8639310127 10361431747 11807212921 23449556059 26721587137 60475170889 72530022229 164146892413 445541565121 507710155603 1149028246891 3118790955847 21831536690929