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12073656366 = 234313137681
BaseRepresentation
bin10110011111010010…
…10110000000101110
31011011102201021220000
423033221112000232
5144211324000431
65314020205130
7605124246222
oct131751260056
934142637800
1012073656366
11513629a802
12240b5397a6
1311a54b3685
14827712782
154a9e6e9e6
hex2cfa5602e

12073656366 has 80 divisors (see below), whose sum is σ = 28019511168. Its totient is φ = 3881779200.

The previous prime is 12073656349. The next prime is 12073656367. The reversal of 12073656366 is 66365637021.

12073656366 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 3 + 6 + 5 + 636 + 6 = 666.

12073656366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073656367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1568046 + ... + 1575726.

Almost surely, 212073656366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12073656366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009755584).

12073656366 is an abundant number, since it is smaller than the sum of its proper divisors (15945854802).

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

12073656366 is a wasteful number, since it uses less digits than its factorization.

12073656366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 12073656366 in words is "twelve billion, seventy-three million, six hundred fifty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 313 558 626 837 939 1674 1878 2511 2817 5022 5634 7681 8451 9703 15362 16902 19406 23043 25353 29109 46086 50706 58218 69129 87327 138258 174654 207387 238111 261981 414774 476222 523962 622161 714333 785943 1244322 1428666 1571886 2142999 2404153 4285998 4808306 6428997 7212459 12857994 14424918 19286991 21637377 38573982 43274754 64912131 74528743 129824262 149057486 194736393 223586229 389472786 447172458 670758687 1341517374 2012276061 4024552122 6036828183 12073656366