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12690440175 = 352723453181
BaseRepresentation
bin10111101000110100…
…01011111111101111
31012202102022011012210
423310122023333233
5201442223041200
65455132101503
7626323650600
oct136432137757
935672264183
1012690440175
115422471596
122562004893
1312732077ca
148855c7da7
154e41a5650
hex2f468bfef

12690440175 has 36 divisors (see below), whose sum is σ = 24407090376. Its totient is φ = 5801342400.

The previous prime is 12690440173. The next prime is 12690440207. The reversal of 12690440175 is 57104409621.

It is not a de Polignac number, because 12690440175 - 21 = 12690440173 is a prime.

It is a super-2 number, since 2×126904401752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690440173) 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 35 ways as a sum of consecutive naturals, for example, 1722916 + ... + 1730265.

Almost surely, 212690440175 is an apocalyptic number.

12690440175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12690440175 is a deficient number, since it is larger than the sum of its proper divisors (11716650201).

12690440175 is a wasteful number, since it uses less digits than its factorization.

12690440175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453208 (or 3453196 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 12690440175 its reverse (57104409621), we get a palindrome (69794849796).

The spelling of 12690440175 in words is "twelve billion, six hundred ninety million, four hundred forty thousand, one hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3675 3453181 10359543 17265905 24172267 51797715 72516801 86329525 120861335 169205869 258988575 362584005 507617607 604306675 846029345 1812920025 2538088035 4230146725 12690440175