Search a number
-
+
12077410093 = 7229237892
BaseRepresentation
bin10110011111101111…
…01010011100101101
31011011200210000000221
423033313222130231
5144213304110333
65314232451341
7605201202100
oct131767523455
934150700027
1012077410093
115138423a61
122410849b51
1311a61c9108
1482800c737
154aa461d2d
hex2cfdea72d

12077410093 has 54 divisors (see below), whose sum is σ = 15113440446. Its totient is φ = 9615691008.

The previous prime is 12077410091. The next prime is 12077410109. The reversal of 12077410093 is 39001477021.

It can be written as a sum of positive squares in 9 ways, for example, as 2502200484 + 9575209609 = 50022^2 + 97853^2 .

It is not a de Polignac number, because 12077410093 - 21 = 12077410091 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12077410091) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 135701193 + ... + 135701281.

Almost surely, 212077410093 is an apocalyptic number.

It is an amenable number.

12077410093 is a deficient number, since it is larger than the sum of its proper divisors (3036030353).

12077410093 is an frugal number, since it uses more digits than its factorization.

12077410093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 12077410093 in words is "twelve billion, seventy-seven million, four hundred ten thousand, ninety-three".

Divisors: 1 7 29 37 49 89 203 259 623 841 1073 1421 1813 2581 3293 4361 5887 7511 7921 18067 23051 31117 41209 52577 55447 74849 95497 126469 161357 217819 229709 293077 388129 523943 668479 1524733 1607963 2051539 2769413 3667601 4679353 6661561 8499233 11255741 14360773 19385891 46630927 59494631 135701237 246477757 326416489 416462417 1725344299 12077410093