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13054301568 = 2732711367401
BaseRepresentation
bin11000010100001100…
…01101010110000000
31020200202222020012200
430022012031112000
5203213400122233
65555210553200
7641332506150
oct141206152600
936622866180
1013054301568
1155998a3a90
122643a38800
131300704cc9
148bba62760
155160cb313
hex30a18d580

13054301568 has 384 divisors, whose sum is σ = 47079152640. Its totient is φ = 3373056000.

The previous prime is 13054301551. The next prime is 13054301573. The reversal of 13054301568 is 86510345031.

13054301568 is a `hidden beast` number, since 13 + 0 + 54 + 30 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32554168 + ... + 32554568.

It is an arithmetic number, because the mean of its divisors is an integer number (122601960).

Almost surely, 213054301568 is an apocalyptic number.

13054301568 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 13054301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23539576320).

13054301568 is an abundant number, since it is smaller than the sum of its proper divisors (34024851072).

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

13054301568 is a wasteful number, since it uses less digits than its factorization.

13054301568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13054301568 its reverse (86510345031), we get a palindrome (99564646599).

The spelling of 13054301568 in words is "thirteen billion, fifty-four million, three hundred one thousand, five hundred sixty-eight".