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12422466784 = 257136763671
BaseRepresentation
bin10111001000110111…
…11100110011100000
31012001202001200211101
423210123330303200
5200420122414114
65412400324144
7616561140220
oct134433746340
935052050741
1012422466784
1152a5182182
1224a8313654
13122c841280
1485bb90080
154ca8c0d74
hex2e46fcce0

12422466784 has 96 divisors (see below), whose sum is σ = 30550334976. Its totient is φ = 4840957440.

The previous prime is 12422466781. The next prime is 12422466799. The reversal of 12422466784 is 48766422421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422466781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163269 + ... + 226939.

It is an arithmetic number, because the mean of its divisors is an integer number (318232656).

Almost surely, 212422466784 is an apocalyptic number.

12422466784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422466784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275167488).

12422466784 is an abundant number, since it is smaller than the sum of its proper divisors (18127868192).

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

12422466784 is a wasteful number, since it uses less digits than its factorization.

12422466784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63768 (or 63760 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The spelling of 12422466784 in words is "twelve billion, four hundred twenty-two million, four hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 67 91 104 112 134 182 208 224 268 364 416 469 536 728 871 938 1072 1456 1742 1876 2144 2912 3484 3752 6097 6968 7504 12194 13936 15008 24388 27872 48776 63671 97552 127342 195104 254684 445697 509368 827723 891394 1018736 1655446 1782788 2037472 3310892 3565576 4265957 5794061 6621784 7131152 8531914 11588122 13243568 14262304 17063828 23176244 26487136 29861699 34127656 46352488 55457441 59723398 68255312 92704976 110914882 119446796 136510624 185409952 221829764 238893592 388202087 443659528 477787184 776404174 887319056 955574368 1552808348 1774638112 3105616696 6211233392 12422466784