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13326484504320 = 2833513191561151
BaseRepresentation
bin1100000111101101000001…
…0111111111111100000000
31202011222222121200202221000
43001323100113333330000
53221320120013114240
644202034044332000
72543543465164251
oct301732027777400
952158877622830
1013326484504320
11427880409a099
1215b2918844000
137588b3748650
1434101073cb28
151819bc001430
hexc1ed05fff00

13326484504320 has 576 divisors, whose sum is σ = 53608710758400. Its totient is φ = 3107712614400.

The previous prime is 13326484504313. The next prime is 13326484504351. The reversal of 13326484504320 is 2340548462331.

13326484504320 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 64 + 84 + 504 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7755745 + ... + 9316895.

It is an arithmetic number, because the mean of its divisors is an integer number (93070678400).

Almost surely, 213326484504320 is an apocalyptic number.

13326484504320 is a gapful number since it is divisible by the number (10) 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 13326484504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804355379200).

13326484504320 is an abundant number, since it is smaller than the sum of its proper divisors (40282226254080).

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

13326484504320 is a wasteful number, since it uses less digits than its factorization.

13326484504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561213 (or 1561193 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 13326484504320 in words is "thirteen trillion, three hundred twenty-six billion, four hundred eighty-four million, five hundred four thousand, three hundred twenty".