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12733686693 = 32741345329
BaseRepresentation
bin10111101101111110…
…01010001110100101
31012212102200022021200
423312333022032211
5202034310433233
65503315033113
7630360360000
oct136677121645
935772608250
1012733686693
11544491a312
12257459b799
13127c169c70
1488b244537
154e7d99313
hex2f6fca3a5

12733686693 has 60 divisors (see below), whose sum is σ = 23108418060. Its totient is φ = 6716521728.

The previous prime is 12733686671. The next prime is 12733686727. The reversal of 12733686693 is 39668633721.

12733686693 is a `hidden beast` number, since 1 + 273 + 368 + 6 + 6 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4453960644 + 8279726049 = 66738^2 + 90993^2 .

It is not a de Polignac number, because 12733686693 - 25 = 12733686661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12733687693) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 258253 + ... + 303581.

It is an arithmetic number, because the mean of its divisors is an integer number (385140301).

Almost surely, 212733686693 is an apocalyptic number.

12733686693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12733686693 is a deficient number, since it is larger than the sum of its proper divisors (10374731367).

12733686693 is an equidigital number, since it uses as much as digits as its factorization.

12733686693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45376 (or 45352 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 12733686693 in words is "twelve billion, seven hundred thirty-three million, six hundred eighty-six thousand, six hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 343 441 637 819 1029 1911 2401 3087 4459 5733 7203 13377 21609 31213 40131 45329 93639 135987 280917 317303 407961 589277 951909 1767831 2221121 2855727 4124939 5303493 6663363 12374817 15547847 19990089 28874573 37124451 46643541 86623719 108834929 139930623 202122011 259871157 326504787 606366033 979514361 1414854077 1819098099 4244562231 12733686693