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12443544512 = 267210913637
BaseRepresentation
bin10111001011011000…
…10110101111000000
31012010012201120000222
423211230112233000
5200441021411022
65414432202212
7620235245300
oct134554265700
935105646028
1012443544512
115306069193
1224b3399368
1312340110b9
148608b9600
154cc686242
hex2e5b16bc0

12443544512 has 84 divisors (see below), whose sum is σ = 28758346344. Its totient is φ = 5326594560.

The previous prime is 12443544493. The next prime is 12443544521. The reversal of 12443544512 is 21544534421.

It is a happy number.

12443544512 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 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 11 ways as a sum of consecutive naturals, for example, 3419558 + ... + 3423194.

It is an arithmetic number, because the mean of its divisors is an integer number (342361266).

Almost surely, 212443544512 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 12443544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379173172).

12443544512 is an abundant number, since it is smaller than the sum of its proper divisors (16314801832).

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

12443544512 is a wasteful number, since it uses less digits than its factorization.

12443544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4737 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

The spelling of 12443544512 in words is "twelve billion, four hundred forty-three million, five hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1091 1568 2182 3136 3637 4364 7274 7637 8728 14548 15274 17456 25459 29096 30548 34912 50918 53459 58192 61096 69824 101836 106918 116384 122192 178213 203672 213836 232768 244384 356426 407344 427672 488768 712852 814688 855344 1425704 1629376 1710688 2851408 3421376 3967967 5702816 7935934 11405632 15871868 27775769 31743736 55551538 63487472 111103076 126974944 194430383 222206152 253949888 388860766 444412304 777721532 888824608 1555443064 1777649216 3110886128 6221772256 12443544512