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12424183008 = 2531036731867
BaseRepresentation
bin10111001001000100…
…11111110011100000
31012001212021220001020
423210202133303200
5200421042324013
65412501205440
7616611545616
oct134442376340
935055256036
1012424183008
1152a6144646
1224a8a00880
13122ccc24a3
1485c0b96b6
154cab0e623
hex2e489fce0

12424183008 has 96 divisors (see below), whose sum is σ = 32996710656. Its totient is φ = 4092899328.

The previous prime is 12424183001. The next prime is 12424183039. The reversal of 12424183008 is 80038142421.

12424183008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12424183008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424183001) 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, 6653691 + ... + 6655557.

It is an arithmetic number, because the mean of its divisors is an integer number (343715736).

Almost surely, 212424183008 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 12424183008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498355328).

12424183008 is an abundant number, since it is smaller than the sum of its proper divisors (20572527648).

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

12424183008 is a wasteful number, since it uses less digits than its factorization.

12424183008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 12424183008 in words is "twelve billion, four hundred twenty-four million, one hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 673 824 1236 1346 1648 1867 2019 2472 2692 3296 3734 4038 4944 5384 5601 7468 8076 9888 10768 11202 14936 16152 21536 22404 29872 32304 44808 59744 64608 69319 89616 138638 179232 192301 207957 277276 384602 415914 554552 576903 769204 831828 1109104 1153806 1256491 1538408 1663656 2218208 2307612 2512982 3076816 3327312 3769473 4615224 5025964 6153632 6654624 7538946 9230448 10051928 15077892 18460896 20103856 30155784 40207712 60311568 120623136 129418573 258837146 388255719 517674292 776511438 1035348584 1553022876 2070697168 3106045752 4141394336 6212091504 12424183008