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13220940544 = 287192107191
BaseRepresentation
bin11000101000000011…
…11000101100000000
31021010101112100220121
430110001320230000
5204034030044134
610023522350024
7645425066110
oct142401705400
937111470817
1013220940544
115674970349
12268b7bb314
1313290ab556
148d5c3d040
15525a45ab4
hex314078b00

13220940544 has 216 divisors, whose sum is σ = 32296900608. Its totient is φ = 5289891840.

The previous prime is 13220940517. The next prime is 13220940547. The reversal of 13220940544 is 44504902231.

It is not an unprimeable number, because it can be changed into a prime (13220940547) by changing a digit.

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, 69219489 + ... + 69219679.

It is an arithmetic number, because the mean of its divisors is an integer number (149522688).

Almost surely, 213220940544 is an apocalyptic number.

13220940544 is a gapful number since it is divisible by the number (14) 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 13220940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148450304).

13220940544 is an abundant number, since it is smaller than the sum of its proper divisors (19075960064).

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

13220940544 is a wasteful number, since it uses less digits than its factorization.

13220940544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 13220940544 in words is "thirteen billion, two hundred twenty million, nine hundred forty thousand, five hundred forty-four".