Search a number
-
+
12272413790 = 2571379170711
BaseRepresentation
bin10110110110111111…
…00010110001011110
31011200021201012211002
423123133202301132
5200113214220130
65345440230302
7613056540020
oct133337426136
934607635732
1012272413790
11522850413a
12246600b392
131207724210
14845c90010
154bc630b45
hex2db7e2c5e

12272413790 has 64 divisors (see below), whose sum is σ = 27532431360. Its totient is φ = 3834829440.

The previous prime is 12272413787. The next prime is 12272413799. The reversal of 12272413790 is 9731427221.

It is a super-2 number, since 2×122724137902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272413799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13466 + ... + 157245.

It is an arithmetic number, because the mean of its divisors is an integer number (430194240).

Almost surely, 212272413790 is an apocalyptic number.

12272413790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12272413790 is an abundant number, since it is smaller than the sum of its proper divisors (15260017570).

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

12272413790 is a wasteful number, since it uses less digits than its factorization.

12272413790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170817.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 12272413790 in words is "twelve billion, two hundred seventy-two million, four hundred thirteen thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 79 91 130 158 182 395 455 553 790 910 1027 1106 2054 2765 5135 5530 7189 10270 14378 35945 71890 170711 341422 853555 1194977 1707110 2219243 2389954 4438486 5974885 11096215 11949770 13486169 15534701 22192430 26972338 31069402 67430845 77673505 94403183 134861690 155347010 175320197 188806366 350640394 472015915 876600985 944031830 1227241379 1753201970 2454482758 6136206895 12272413790