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13391469504 = 26357217573
BaseRepresentation
bin11000111100011000…
…11001101111000000
31021120021102010200000
430132030121233000
5204411204011004
610052453400000
7652565420100
oct143614315700
937507363600
1013391469504
115752154276
122718939000
13135551756a
1491074d200
155359ccc39
hex31e319bc0

13391469504 has 252 divisors, whose sum is σ = 46307419704. Its totient is φ = 3825916416.

The previous prime is 13391469491. The next prime is 13391469521. The reversal of 13391469504 is 40596419331.

13391469504 is a `hidden beast` number, since 13 + 3 + 91 + 46 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 13391469504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 753262 + ... + 770834.

It is an arithmetic number, because the mean of its divisors is an integer number (183759602).

Almost surely, 213391469504 is an apocalyptic number.

13391469504 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 13391469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153709852).

13391469504 is an abundant number, since it is smaller than the sum of its proper divisors (32915950200).

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

13391469504 is an equidigital number, since it uses as much as digits as its factorization.

13391469504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17614 (or 17585 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13391469504 in words is "thirteen billion, three hundred ninety-one million, four hundred sixty-nine thousand, five hundred four".