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12423434022 = 2331137512711
BaseRepresentation
bin10111001000111111…
…01000111100100110
31012001210212211122000
423210133220330212
5200420344342042
65412433150130
7616602306156
oct134437507446
935053784560
1012423434022
1152a578294a
1224a86bb346
13122cabc5bc
1485bd62766
154caa1274c
hex2e47e8f26

12423434022 has 64 divisors (see below), whose sum is σ = 27899320320. Its totient is φ = 4097520000.

The previous prime is 12423434011. The next prime is 12423434039. The reversal of 12423434022 is 22043432421.

12423434022 is a `hidden beast` number, since 1 + 24 + 234 + 3 + 402 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4581247 + ... + 4583957.

It is an arithmetic number, because the mean of its divisors is an integer number (435926880).

Almost surely, 212423434022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423434022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949660160).

12423434022 is an abundant number, since it is smaller than the sum of its proper divisors (15475886298).

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

12423434022 is a wasteful number, since it uses less digits than its factorization.

12423434022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12423434022 its reverse (22043432421), we get a palindrome (34466866443).

The spelling of 12423434022 in words is "twelve billion, four hundred twenty-three million, four hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 751 1017 1502 2034 2253 2711 3051 4506 5422 6102 6759 8133 13518 16266 20277 24399 40554 48798 73197 84863 146394 169726 254589 306343 509178 612686 763767 919029 1527534 1838058 2035961 2291301 2757087 4071922 4582602 5514174 6107883 8271261 12215766 16542522 18323649 36647298 54970947 109941894 230063593 460127186 690190779 1380381558 2070572337 4141144674 6211717011 12423434022