Search a number
-
+
12267248805 = 3257371052531
BaseRepresentation
bin10110110110010111…
…10101110010100101
31011122220222210210100
423123023311302211
5200110403430210
65345133414313
7612664615530
oct133313656245
934586883710
1012267248805
1152255a6659
12246433a399
131206636306
14845307a17
154bbe605c0
hex2db2f5ca5

12267248805 has 48 divisors (see below), whose sum is σ = 24957638784. Its totient is φ = 5456315520.

The previous prime is 12267248759. The next prime is 12267248837. The reversal of 12267248805 is 50884276221.

It is not a de Polignac number, because 12267248805 - 28 = 12267248549 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514611 + ... + 537920.

It is an arithmetic number, because the mean of its divisors is an integer number (519950808).

Almost surely, 212267248805 is an apocalyptic number.

12267248805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12267248805 is an abundant number, since it is smaller than the sum of its proper divisors (12690389979).

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

12267248805 is a wasteful number, since it uses less digits than its factorization.

12267248805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052586 (or 1052583 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12267248805 in words is "twelve billion, two hundred sixty-seven million, two hundred forty-eight thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 11655 1052531 3157593 5262655 7367717 9472779 15787965 22103151 36838585 38943647 47363895 66309453 110515755 116830941 194718235 272605529 331547265 350492823 584154705 817816587 1363027645 1752464115 2453449761 4089082935 12267248805