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12443407008 = 253235635601
BaseRepresentation
bin10111001011010111…
…10101001010100000
31012010012110120102020
423211223311022200
5200441003011013
65414425221440
7620234133354
oct134553651240
935105416366
1012443407008
115305a8494a
1224b3331880
131233c93636
14860881464
154cc65a623
hex2e5af52a0

12443407008 has 48 divisors (see below), whose sum is σ = 34084120896. Its totient is φ = 3967462400.

The previous prime is 12443407003. The next prime is 12443407013. The reversal of 12443407008 is 80070434421.

12443407008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12443407003) and next prime (12443407013).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12443407008.

It is not an unprimeable number, because it can be changed into a prime (12443407003) 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 7 ways as a sum of consecutive naturals, for example, 2815593 + ... + 2820008.

It is an arithmetic number, because the mean of its divisors is an integer number (710085852).

Almost surely, 212443407008 is an apocalyptic number.

It is an amenable number.

12443407008 is an abundant number, since it is smaller than the sum of its proper divisors (21640713888).

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

12443407008 is a wasteful number, since it uses less digits than its factorization.

12443407008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635637 (or 5635629 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 12443407008 in words is "twelve billion, four hundred forty-three million, four hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5635601 11271202 16906803 22542404 33813606 45084808 67627212 90169616 129618823 135254424 180339232 259237646 270508848 388856469 518475292 541017696 777712938 1036950584 1555425876 2073901168 3110851752 4147802336 6221703504 12443407008