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13221914904 = 23331123116319
BaseRepresentation
bin11000101000001011…
…00110100100011000
31021010110100212111000
430110011212210120
5204034302234104
610023555305000
7645436264602
oct142405464430
937113325430
1013221914904
115675476400
12268bbab160
13132935cbb3
148d6014172
15525b89639
hex314166918

13221914904 has 192 divisors, whose sum is σ = 41674752000. Its totient is φ = 3877156800.

The previous prime is 13221914891. The next prime is 13221914911. The reversal of 13221914904 is 40941912231.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802057 + ... + 818375.

It is an arithmetic number, because the mean of its divisors is an integer number (217056000).

Almost surely, 213221914904 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 13221914904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837376000).

13221914904 is an abundant number, since it is smaller than the sum of its proper divisors (28452837096).

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

13221914904 is a wasteful number, since it uses less digits than its factorization.

13221914904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16387 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13221914904 in words is "thirteen billion, two hundred twenty-one million, nine hundred fourteen thousand, nine hundred four".