Search a number
-
+
12425735412 = 2232345159317
BaseRepresentation
bin10111001001010000…
…11010110011110100
31012001222012202112200
423210220122303310
5200421442013122
65412554344500
7616631002566
oct134450326364
935058182480
1012425735412
1152a7004a22
1224a942b130
131230416c7c
1485c3a1336
154cad195ac
hex2e4a1acf4

12425735412 has 18 divisors (see below), whose sum is σ = 31409497938. Its totient is φ = 4141911792.

The previous prime is 12425735411. The next prime is 12425735437. The reversal of 12425735412 is 21453752421.

12425735412 is a `hidden beast` number, since 1 + 2 + 42 + 5 + 73 + 541 + 2 = 666.

12425735412 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 only one way, i.e., 11260605456 + 1165129956 = 106116^2 + 34134^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 345159317 = 12425735412 / (1 + 2 + 4 + 2 + 5 + 7 + 3 + 5 + 4 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425735411) 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, 172579623 + ... + 172579694.

Almost surely, 212425735412 is an apocalyptic number.

12425735412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12425735412 is an abundant number, since it is smaller than the sum of its proper divisors (18983762526).

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

12425735412 is a wasteful number, since it uses less digits than its factorization.

12425735412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345159327 (or 345159322 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 12425735412 in words is "twelve billion, four hundred twenty-five million, seven hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 345159317 690318634 1035477951 1380637268 2070955902 3106433853 4141911804 6212867706 12425735412