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13390548480 = 29335238423
BaseRepresentation
bin11000111100010001…
…11000111000000000
31021120012200100021000
430132020320320000
5204410440022410
610052421532000
7652554532641
oct143610707000
937505610230
1013390548480
1157516852a1
122718574000
13135528428a
1491058d6c8
15535899dc0
hex31e238e00

13390548480 has 320 divisors, whose sum is σ = 49638251520. Its totient is φ = 3415154688.

The previous prime is 13390548443. The next prime is 13390548499. The reversal of 13390548480 is 8484509331.

13390548480 is a `hidden beast` number, since 1 + 3 + 3 + 90 + 5 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585549 + ... + 1593971.

It is an arithmetic number, because the mean of its divisors is an integer number (155119536).

Almost surely, 213390548480 is an apocalyptic number.

13390548480 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 13390548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819125760).

13390548480 is an abundant number, since it is smaller than the sum of its proper divisors (36247703040).

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

13390548480 is an equidigital number, since it uses as much as digits as its factorization.

13390548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13390548480 in words is "thirteen billion, three hundred ninety million, five hundred forty-eight thousand, four hundred eighty".