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12468211896 = 233731514603
BaseRepresentation
bin10111001110010100…
…11101000010111000
31012011221010210022210
423213022131002320
5201013330240041
65421113015120
7620655024000
oct134712350270
935157123283
1012468211896
115318a87158
1224bb6b44a0
131239169a9a
14863c9b000
154ce90a016
hex2e729d0b8

12468211896 has 64 divisors (see below), whose sum is σ = 36350496000. Its totient is φ = 3562343904.

The previous prime is 12468211891. The next prime is 12468211907. The reversal of 12468211896 is 69811286421.

12468211896 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 not an unprimeable number, because it can be changed into a prime (12468211891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 749070 + ... + 765533.

It is an arithmetic number, because the mean of its divisors is an integer number (567976500).

Almost surely, 212468211896 is an apocalyptic number.

It is an amenable number.

12468211896 is an abundant number, since it is smaller than the sum of its proper divisors (23882284104).

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

12468211896 is a wasteful number, since it uses less digits than its factorization.

12468211896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514633 (or 1514615 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 12468211896 in words is "twelve billion, four hundred sixty-eight million, two hundred eleven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 1514603 3029206 4543809 6058412 9087618 10602221 12116824 18175236 21204442 31806663 36350472 42408884 63613326 74215547 84817768 127226652 148431094 222646641 254453304 296862188 445293282 519508829 593724376 890586564 1039017658 1558526487 1781173128 2078035316 3117052974 4156070632 6234105948 12468211896