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12265310634 = 2329377126833
BaseRepresentation
bin10110110110001000…
…11100100110101010
31011122210100100010020
423123010130212222
5200104404420014
65345024101310
7612642264063
oct133304344652
934583310106
1012265310634
1152244a2465
122463764836
131206108075
14844d6156a
154bbbcb1a9
hex2db11c9aa

12265310634 has 64 divisors (see below), whose sum is σ = 26430416640. Its totient is φ = 3786531840.

The previous prime is 12265310627. The next prime is 12265310677. The reversal of 12265310634 is 43601356221.

12265310634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12265310595 and 12265310604.

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 31 ways as a sum of consecutive naturals, for example, 443682 + ... + 470514.

It is an arithmetic number, because the mean of its divisors is an integer number (412975260).

Almost surely, 212265310634 is an apocalyptic number.

12265310634 is an abundant number, since it is smaller than the sum of its proper divisors (14165106006).

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

12265310634 is a wasteful number, since it uses less digits than its factorization.

12265310634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 12265310634 its reverse (43601356221), we get a palindrome (55866666855).

The spelling of 12265310634 in words is "twelve billion, two hundred sixty-five million, three hundred ten thousand, six hundred thirty-four".

Divisors: 1 2 3 6 29 37 58 71 74 87 111 142 174 213 222 426 1073 2059 2146 2627 3219 4118 5254 6177 6438 7881 12354 15762 26833 53666 76183 80499 152366 160998 228549 457098 778157 992821 1556314 1905143 1985642 2334471 2978463 3810286 4668942 5715429 5956926 11430858 28791809 55249147 57583618 70490291 86375427 110498294 140980582 165747441 172750854 211470873 331494882 422941746 2044218439 4088436878 6132655317 12265310634