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12492970326 = 23219210931759
BaseRepresentation
bin10111010001010001…
…11001100101010110
31012020122201122111200
423220220321211112
5201041200022301
65423355413330
7621405332004
oct135050714526
935218648450
1012492970326
115330a57571
122507a54246
131241328045
148672a3a74
154d1b9ac86
hex2e8a39956

12492970326 has 72 divisors (see below), whose sum is σ = 28610112960. Its totient is φ = 3939298272.

The previous prime is 12492970309. The next prime is 12492970337. The reversal of 12492970326 is 62307929421.

12492970326 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 an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7101435 + ... + 7103193.

It is an arithmetic number, because the mean of its divisors is an integer number (397362680).

Almost surely, 212492970326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12492970326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305056480).

12492970326 is an abundant number, since it is smaller than the sum of its proper divisors (16117142634).

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

12492970326 is a wasteful number, since it uses less digits than its factorization.

12492970326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12492970326 in words is "twelve billion, four hundred ninety-two million, nine hundred seventy thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 1093 1759 2166 2186 3249 3279 3518 5277 6498 6558 9837 10554 15831 19674 20767 31662 33421 41534 62301 66842 100263 124602 186903 200526 300789 373806 394573 601578 634999 789146 1183719 1269998 1904997 1922587 2367438 3551157 3809994 3845174 5714991 5767761 7102314 11429982 11535522 17303283 34606566 36529153 73058306 109587459 219174918 328762377 657524754 694053907 1388107814 2082161721 4164323442 6246485163 12492970326