Search a number
-
+
12426254505 = 3257192390271
BaseRepresentation
bin10111001001010100…
…11001100010101001
31012002000012010121100
423210222121202221
5200422110121010
65413013432013
7616635264150
oct134452314251
935060163540
1012426254505
1152a7329a25
1224a963b609
131230569322
1485c498597
154cadbd2c0
hex2e4a998a9

12426254505 has 96 divisors (see below), whose sum is σ = 27038269440. Its totient is φ = 5147556480.

The previous prime is 12426254479. The next prime is 12426254513. The reversal of 12426254505 is 50545262421.

12426254505 is a `hidden beast` number, since 1 + 2 + 42 + 62 + 54 + 505 = 666.

It is not a de Polignac number, because 12426254505 - 28 = 12426254249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12426254505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92520 + ... + 182790.

It is an arithmetic number, because the mean of its divisors is an integer number (281648640).

Almost surely, 212426254505 is an apocalyptic number.

12426254505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12426254505 is an abundant number, since it is smaller than the sum of its proper divisors (14612014935).

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

12426254505 is a wasteful number, since it uses less digits than its factorization.

12426254505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90331 (or 90328 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 12426254505 in words is "twelve billion, four hundred twenty-six million, two hundred fifty-four thousand, five hundred five".

Divisors: 1 3 5 7 9 15 19 21 23 35 45 57 63 69 95 105 115 133 161 171 207 285 315 345 399 437 483 665 805 855 1035 1197 1311 1449 1995 2185 2415 3059 3933 5985 6555 7245 9177 15295 19665 27531 45885 90271 137655 270813 451355 631897 812439 1354065 1715149 1895691 2076233 3159485 4062195 5145447 5687073 6228699 8575745 9478455 10381165 12006043 14533631 15436341 18686097 25727235 28435365 31143495 36018129 39448427 43600893 60030215 72668155 77181705 93430485 108054387 118345281 130802679 180090645 197242135 218004465 276138989 355035843 540271935 591726405 654013395 828416967 1380694945 1775179215 2485250901 4142084835 12426254505