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28692585045 = 3451924432
BaseRepresentation
bin11010101110001101…
…100001101001010101
32202001122011100020000
4122232031201221111
5432230300210140
621103045401513
72034012643305
oct325615415125
982048140200
1028692585045
1111194241903
125689109299
132923562097
141562957605
15b2de71a30
hex6ae361a55

28692585045 has 90 divisors (see below), whose sum is σ = 54406463958. Its totient is φ = 14464580832.

The previous prime is 28692585043. The next prime is 28692585073. The reversal of 28692585045 is 54058529682.

28692585045 is a `hidden beast` number, since 2 + 86 + 9 + 2 + 58 + 504 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22954068036 + 5738517009 = 151506^2 + 75753^2 .

It is not a de Polignac number, because 28692585045 - 21 = 28692585043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28692584982 and 28692585000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28692585043) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 64768594 + ... + 64769036.

Almost surely, 228692585045 is an apocalyptic number.

It is an amenable number.

28692585045 is a deficient number, since it is larger than the sum of its proper divisors (25713878913).

28692585045 is an frugal number, since it uses more digits than its factorization.

28692585045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 28692585045 in words is "twenty-eight billion, six hundred ninety-two million, five hundred eighty-five thousand, forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 361 405 443 513 855 1083 1329 1539 1805 2215 2565 3249 3987 5415 6645 7695 8417 9747 11961 16245 19935 25251 29241 35883 42085 48735 59805 75753 126255 146205 159923 179415 196249 227259 378765 479769 588747 681777 799615 981245 1136295 1439307 1766241 2398845 2943735 3408885 3728731 4317921 5298723 7196535 8831205 11186193 12953763 15896169 18643655 21589605 26493615 33558579 55930965 64768815 70845889 79480845 100675737 167792895 212537667 302027211 354229445 503378685 637613001 1062688335 1510136055 1912839003 3188065005 5738517009 9564195015 28692585045