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12247017472 = 21140914621
BaseRepresentation
bin10110110011111101…
…01010100000000000
31011121111220221121201
423121332222200000
5200040214024342
65343132030544
7612330634204
oct133176524000
934544827551
1012247017472
115215138548
122459602454
1312023a1801
1484275cb04
154ba2b5db7
hex2d9faa800

12247017472 has 48 divisors (see below), whose sum is σ = 24549606900. Its totient is φ = 6108119040.

The previous prime is 12247017469. The next prime is 12247017479. The reversal of 12247017472 is 27471074221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11998135296 + 248882176 = 109536^2 + 15776^2 .

It is not an unprimeable number, because it can be changed into a prime (12247017479) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 830322 + ... + 844942.

Almost surely, 212247017472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12247017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12274803450).

12247017472 is an abundant number, since it is smaller than the sum of its proper divisors (12302589428).

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

12247017472 is an equidigital number, since it uses as much as digits as its factorization.

12247017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15052 (or 15032 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The spelling of 12247017472 in words is "twelve billion, two hundred forty-seven million, seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 409 512 818 1024 1636 2048 3272 6544 13088 14621 26176 29242 52352 58484 104704 116968 209408 233936 418816 467872 837632 935744 1871488 3742976 5979989 7485952 11959978 14971904 23919956 29943808 47839912 95679824 191359648 382719296 765438592 1530877184 3061754368 6123508736 12247017472