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13034417088 = 263731119947
BaseRepresentation
bin11000010001110100…
…10110101111000000
31020122101112222211110
430020322112233000
5203143302321323
65553220443320
7641001501000
oct141072265700
936571488743
1013034417088
115589652530
122639249540
1312c9562344
148b9168000
1551449e793
hex308e96bc0

13034417088 has 448 divisors, whose sum is σ = 46232064000. Its totient is φ = 3203988480.

The previous prime is 13034417047. The next prime is 13034417159. The reversal of 13034417088 is 88071443031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13763431 + ... + 13764377.

Almost surely, 213034417088 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 13034417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23116032000).

13034417088 is an abundant number, since it is smaller than the sum of its proper divisors (33197646912).

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

13034417088 is a wasteful number, since it uses less digits than its factorization.

13034417088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 13034417088 in words is "thirteen billion, thirty-four million, four hundred seventeen thousand, eighty-eight".