Search a number
-
+
12190279392 = 253242327359
BaseRepresentation
bin10110101101001100…
…01110011011100000
31011110120011100121100
423112212032123200
5144431202420032
65333343554400
7611041444104
oct132646163340
934416140540
1012190279392
115196105375
1224425bba00
1311c36c7495
14838dcd904
154b530997c
hex2d698e6e0

12190279392 has 36 divisors (see below), whose sum is σ = 34666107840. Its totient is φ = 4063426368.

The previous prime is 12190279379. The next prime is 12190279399. The reversal of 12190279392 is 29397209121.

12190279392 is a `hidden beast` number, since 1 + 2 + 190 + 2 + 79 + 392 = 666.

12190279392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190279399) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 21163392 + ... + 21163967.

It is an arithmetic number, because the mean of its divisors is an integer number (962947440).

Almost surely, 212190279392 is an apocalyptic number.

12190279392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12190279392 is an abundant number, since it is smaller than the sum of its proper divisors (22475828448).

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

12190279392 is a wasteful number, since it uses less digits than its factorization.

12190279392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42327375 (or 42327364 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12190279392 in words is "twelve billion, one hundred ninety million, two hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42327359 84654718 126982077 169309436 253964154 338618872 380946231 507928308 677237744 761892462 1015856616 1354475488 1523784924 2031713232 3047569848 4063426464 6095139696 12190279392