Search a number
-
+
5628609007812 = 2232724177824913
BaseRepresentation
bin101000111101000001100…
…1111011001000011000100
3201221002102102212100201100
41101322003033121003010
51214204342401222222
615545425225100100
71120440115111200
oct121720317310304
921832372770640
105628609007812
11188009705806a
1276aa41927630
1331aa10b7015b
141565d7429b00
159b62e0024ac
hex51e833d90c4

5628609007812 has 108 divisors (see below), whose sum is σ = 16954468814556. Its totient is φ = 1568950225920.

The previous prime is 5628609007807. The next prime is 5628609007913. The reversal of 5628609007812 is 2187009068265.

5628609007812 is a `hidden beast` number, since 5 + 6 + 28 + 609 + 0 + 0 + 7 + 8 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 901219854276 + 4727389153536 = 949326^2 + 2174256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38840133 + ... + 38984780.

It is an arithmetic number, because the mean of its divisors is an integer number (156985822357).

Almost surely, 25628609007812 is an apocalyptic number.

It is an amenable number.

5628609007812 is an abundant number, since it is smaller than the sum of its proper divisors (11325859806744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5628609007812 is a wasteful number, since it uses less digits than its factorization.

5628609007812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77824978 (or 77824966 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5628609007812 in words is "five trillion, six hundred twenty-eight billion, six hundred nine million, seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 369 441 492 574 588 738 861 882 1148 1476 1722 1764 2009 2583 3444 4018 5166 6027 8036 10332 12054 18081 24108 36162 72324 77824913 155649826 233474739 311299652 466949478 544774391 700424217 933898956 1089548782 1400848434 1634323173 2179097564 2801696868 3190821433 3268646346 3813420737 4902969519 6381642866 6537292692 7626841474 9572464299 9805939038 11440262211 12763285732 15253682948 19144928598 19611878076 22335750031 22880524422 28717392897 34320786633 38289857196 44671500062 45761048844 57434785794 67007250093 68641573266 89343000124 114869571588 134014500186 137283146532 156350250217 201021750279 268029000372 312700500434 402043500558 469050750651 625401000868 804087001116 938101501302 1407152251953 1876203002604 2814304503906 5628609007812