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12227526738 = 232736132467
BaseRepresentation
bin10110110001101000…
…10100000001010010
31011120011020201100200
423120310110001102
5200020221323423
65341154200030
7612003156000
oct133064240122
934504221320
1012227526738
1152051358a9
122452b83016
1311cb33912b
1483dd27a70
154b8715d43
hex2d8d14052

12227526738 has 96 divisors (see below), whose sum is σ = 31403049600. Its totient is φ = 3436201440.

The previous prime is 12227526691. The next prime is 12227526739. The reversal of 12227526738 is 83762572221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12227526693 and 12227526702.

It is not an unprimeable number, because it can be changed into a prime (12227526739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360381 + ... + 392847.

It is an arithmetic number, because the mean of its divisors is an integer number (327115100).

Almost surely, 212227526738 is an apocalyptic number.

12227526738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12227526738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701524800).

12227526738 is an abundant number, since it is smaller than the sum of its proper divisors (19175522862).

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

12227526738 is a wasteful number, since it uses less digits than its factorization.

12227526738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32557 (or 32540 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 12227526738 in words is "twelve billion, two hundred twenty-seven million, five hundred twenty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 294 343 366 427 441 549 686 854 882 1029 1098 1281 2058 2562 2989 3087 3843 5978 6174 7686 8967 17934 20923 26901 32467 41846 53802 62769 64934 97401 125538 188307 194802 227269 292203 376614 454538 584406 681807 1363614 1590883 1980487 2045421 3181766 3960974 4090842 4772649 5941461 9545298 11136181 11882922 13863409 14317947 17824383 22272362 27726818 28635894 33408543 35648766 41590227 66817086 83180454 97043863 100225629 124770681 194087726 200451258 249541362 291131589 582263178 679307041 873394767 1358614082 1746789534 2037921123 4075842246 6113763369 12227526738