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13424426136 = 2335111923747
BaseRepresentation
bin11001000000010100…
…00111110010011000
31021122120102111200000
430200022013302120
5204443123114021
610100032013000
7653445511422
oct144012076230
937576374600
1013424426136
115769814060
122727991160
13135c2b6224
14914c8b812
1553883cb26
hex320287c98

13424426136 has 576 divisors, whose sum is σ = 45532730880. Its totient is φ = 3669960960.

The previous prime is 13424426111. The next prime is 13424426137. The reversal of 13424426136 is 63162442431.

13424426136 is a `hidden beast` number, since 1 + 34 + 2 + 4 + 4 + 2 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13424426136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424426137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285626065 + ... + 285626111.

It is an arithmetic number, because the mean of its divisors is an integer number (79049880).

Almost surely, 213424426136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424426136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766365440).

13424426136 is an abundant number, since it is smaller than the sum of its proper divisors (32108304744).

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

13424426136 is a wasteful number, since it uses less digits than its factorization.

13424426136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 13424426136 its reverse (63162442431), we get a palindrome (76586868567).

The spelling of 13424426136 in words is "thirteen billion, four hundred twenty-four million, four hundred twenty-six thousand, one hundred thirty-six".