Search a number
-
+
12420327465 = 3257137938393
BaseRepresentation
bin10111001000100111…
…10010100000101001
31012001121001000020100
423210103302200221
5200414100434330
65412242420013
7616534020150
oct134423624051
935047030210
1012420327465
1152a3a50947
1224a7661609
13122c2725c0
1485b794597
154ca5ec060
hex2e44f2829

12420327465 has 96 divisors (see below), whose sum is σ = 26832798720. Its totient is φ = 5174627328.

The previous prime is 12420327463. The next prime is 12420327503. The reversal of 12420327465 is 56472302421.

12420327465 is a `hidden beast` number, since 124 + 203 + 274 + 65 = 666.

It is not a de Polignac number, because 12420327465 - 21 = 12420327463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12420327463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304309 + ... + 342701.

It is an arithmetic number, because the mean of its divisors is an integer number (279508320).

Almost surely, 212420327465 is an apocalyptic number.

12420327465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12420327465 is an abundant number, since it is smaller than the sum of its proper divisors (14412471255).

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

12420327465 is a wasteful number, since it uses less digits than its factorization.

12420327465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38503 (or 38500 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 12420327465 its reverse (56472302421), we get a palindrome (68892629886).

The spelling of 12420327465 in words is "twelve billion, four hundred twenty million, three hundred twenty-seven thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 79 91 105 117 195 237 273 315 395 455 553 585 711 819 1027 1185 1365 1659 2765 3081 3555 4095 4977 5135 7189 8295 9243 15405 21567 24885 35945 38393 46215 64701 107835 115179 191965 268751 323505 345537 499109 575895 806253 1343755 1497327 1727685 2418759 2495545 3033047 3493763 4031265 4491981 7486635 9099141 10481289 12093795 15165235 17468815 21231329 22459905 27297423 31443867 39429611 45495705 52406445 63693987 106156645 118288833 136487115 157219335 191081961 197148055 276007277 318469935 354866499 591444165 828021831 955409805 1380036385 1774332495 2484065493 4140109155 12420327465