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12784531338 = 2323719195993
BaseRepresentation
bin10111110100000010…
…00111011110001010
31012222222100111000200
423322001013132022
5202140320000323
65512332513030
7631545503055
oct137201073612
935888314020
1012784531338
115470597687
12258961b776
13128985c957
14893cbba9c
154ec58e443
hex2fa04778a

12784531338 has 24 divisors (see below), whose sum is σ = 28448463108. Its totient is φ = 4146334272.

The previous prime is 12784531321. The next prime is 12784531381. The reversal of 12784531338 is 83313548721.

12784531338 is a `hidden beast` number, since 1 + 2 + 7 + 84 + 531 + 3 + 38 = 666.

12784531338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10378923129 + 2405608209 = 101877^2 + 49047^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12784531293 and 12784531302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9597331 + ... + 9598662.

Almost surely, 212784531338 is an apocalyptic number.

12784531338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12784531338 is an abundant number, since it is smaller than the sum of its proper divisors (15663931770).

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

12784531338 is a wasteful number, since it uses less digits than its factorization.

12784531338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19196038 (or 19196035 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12784531338 in words is "twelve billion, seven hundred eighty-four million, five hundred thirty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 19195993 38391986 57587979 115175958 172763937 345527874 710251741 1420503482 2130755223 4261510446 6392265669 12784531338