Search a number
-
+
12475272426687 = 3272173032354877
BaseRepresentation
bin1011010110001010000000…
…1011100111010010111111
31122011121212011222221101100
42311202200023213102333
53113343324220123222
642311021103344143
72425210610666400
oct265424013472277
948147764887340
1012475272426687
113a7a8080674a4
12149595b5b2053
136c654a899675
14311b40ad19a7
1516979cc454ac
hexb58a02e74bf

12475272426687 has 72 divisors (see below), whose sum is σ = 22196038855536. Its totient is φ = 6709046690304.

The previous prime is 12475272426667. The next prime is 12475272426689. The reversal of 12475272426687 is 78662427257421.

12475272426687 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 527 + 2 + 4 + 26 + 6 + 87 = 666.

It is not a de Polignac number, because 12475272426687 - 210 = 12475272425663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12475272426689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227304093 + ... + 227358969.

It is an arithmetic number, because the mean of its divisors is an integer number (308278317438).

Almost surely, 212475272426687 is an apocalyptic number.

12475272426687 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12475272426687 is a deficient number, since it is larger than the sum of its proper divisors (9720766428849).

12475272426687 is a wasteful number, since it uses less digits than its factorization.

12475272426687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85237 (or 85227 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 12475272426687 in words is "twelve trillion, four hundred seventy-five billion, two hundred seventy-two million, four hundred twenty-six thousand, six hundred eighty-seven".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 30323 54877 90969 164631 212261 272907 384139 493893 515491 636783 932909 1152417 1485827 1546473 1910349 2688973 2798727 3457251 3608437 4457481 4639419 6530363 8066919 8396181 10825311 13372443 19591089 24200757 25259059 32475933 45712541 58773267 75777177 137137623 227331531 411412869 1664035271 4992105813 11648246897 14976317439 28288599607 34944740691 81537728279 84865798821 104834222073 198020197249 244613184837 254597396463 594060591747 733839554511 1386141380743 1782181775241 4158424142229 12475272426687