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12340683852 = 2237377950261
BaseRepresentation
bin10110111111000111…
…11110010001001100
31011212001011200201220
423133203332101030
5200233203340402
65400315403340
7614546040060
oct133743762114
934761150656
1012340683852
115262aa3482
122484a53550
1312189084c3
14850d81aa0
154c3618dbc
hex2df8fe44c

12340683852 has 96 divisors (see below), whose sum is σ = 34226411520. Its totient is φ = 3387121920.

The previous prime is 12340683851. The next prime is 12340683857. The reversal of 12340683852 is 25838604321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12340683851) 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, 220402 + ... + 270662.

It is an arithmetic number, because the mean of its divisors is an integer number (356525120).

Almost surely, 212340683852 is an apocalyptic number.

12340683852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340683852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113205760).

12340683852 is an abundant number, since it is smaller than the sum of its proper divisors (21885727668).

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

12340683852 is a wasteful number, since it uses less digits than its factorization.

12340683852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50391 (or 50389 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 12340683852 in words is "twelve billion, three hundred forty million, six hundred eighty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 79 84 111 148 158 222 237 259 316 444 474 518 553 777 948 1036 1106 1554 1659 2212 2923 3108 3318 5846 6636 8769 11692 17538 20461 35076 40922 50261 61383 81844 100522 122766 150783 201044 245532 301566 351827 603132 703654 1055481 1407308 1859657 2110962 3719314 3970619 4221924 5578971 7438628 7941238 11157942 11911857 13017599 15882476 22315884 23823714 26035198 27794333 39052797 47647428 52070396 55588666 78105594 83382999 111177332 146912903 156211188 166765998 293825806 333531996 440738709 587651612 881477418 1028390321 1762954836 2056780642 3085170963 4113561284 6170341926 12340683852