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13254412608 = 2632731013121
BaseRepresentation
bin11000101100000011…
…00100100101000000
31021012201111220221200
430112001210211000
5204121112200413
610031120021200
7646312435233
oct142601444500
937181456850
1013254412608
115691852408
12269aa61800
131332cca9c8
148da47341a
15528958573
hex316064940

13254412608 has 168 divisors, whose sum is σ = 38905577256. Its totient is φ = 4313088000.

The previous prime is 13254412573. The next prime is 13254412643. The reversal of 13254412608 is 80621445231.

It is a happy number.

13254412608 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 41 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (13254412573) and next prime (13254412643).

It can be written as a sum of positive squares in 4 ways, for example, as 1470875904 + 11783536704 = 38352^2 + 108552^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4245288 + ... + 4248408.

It is an arithmetic number, because the mean of its divisors is an integer number (231580817).

Almost surely, 213254412608 is an apocalyptic number.

13254412608 is a gapful number since it is divisible by the number (18) 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 13254412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452788628).

13254412608 is an abundant number, since it is smaller than the sum of its proper divisors (25651164648).

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

13254412608 is a wasteful number, since it uses less digits than its factorization.

13254412608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 13254412608 its reverse (80621445231), we get a palindrome (93875857839).

The spelling of 13254412608 in words is "thirteen billion, two hundred fifty-four million, four hundred twelve thousand, six hundred eight".