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12429022424 = 2371319798627
BaseRepresentation
bin10111001001101001…
…11101010011011000
31012002012101202110212
423210310331103120
5200423312204144
65413153030252
7620000642660
oct134464752330
935065352425
1012429022424
1152a894a565
1224aa555388
131230cc8150
1485c9b91a0
154cb26849e
hex2e4d3d4d8

12429022424 has 64 divisors (see below), whose sum is σ = 28700179200. Its totient is φ = 4913921664.

The previous prime is 12429022379. The next prime is 12429022427. The reversal of 12429022424 is 42422092421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12429022427) 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, 1436399 + ... + 1445025.

It is an arithmetic number, because the mean of its divisors is an integer number (448440300).

Almost surely, 212429022424 is an apocalyptic number.

12429022424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12429022424 is an abundant number, since it is smaller than the sum of its proper divisors (16271156776).

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

12429022424 is a wasteful number, since it uses less digits than its factorization.

12429022424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 12429022424 in words is "twelve billion, four hundred twenty-nine million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1979 3958 7916 8627 13853 15832 17254 25727 27706 34508 51454 55412 60389 69016 102908 110824 112151 120778 180089 205816 224302 241556 360178 448604 483112 720356 785057 897208 1440712 1570114 3140228 6280456 17072833 34145666 68291332 119509831 136582664 221946829 239019662 443893658 478039324 887787316 956078648 1553627803 1775574632 3107255606 6214511212 12429022424