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13220464104 = 23323141731979
BaseRepresentation
bin11000101000000000…
…00100010111101000
31021010100122011100200
430110000010113220
5204033414322404
610023504232200
7645421043061
oct142400042750
937110564320
1013220464104
1156746753a1
12268b60b660
131328c72733
148d5b57568
1552599e839
hex3140045e8

13220464104 has 192 divisors, whose sum is σ = 38399961600. Its totient is φ = 4101580800.

The previous prime is 13220464099. The next prime is 13220464123. The reversal of 13220464104 is 40146402231.

It is a happy number.

13220464104 is a `hidden beast` number, since 13 + 2 + 2 + 0 + 4 + 641 + 0 + 4 = 666.

It is a super-2 number, since 2×132204641042 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6679387 + ... + 6681365.

It is an arithmetic number, because the mean of its divisors is an integer number (199999800).

Almost surely, 213220464104 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 13220464104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199980800).

13220464104 is an abundant number, since it is smaller than the sum of its proper divisors (25179497496).

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

13220464104 is a wasteful number, since it uses less digits than its factorization.

13220464104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13220464104 its reverse (40146402231), we get a palindrome (53366866335).

The spelling of 13220464104 in words is "thirteen billion, two hundred twenty million, four hundred sixty-four thousand, one hundred four".