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5133590784 = 2835711789
BaseRepresentation
bin1001100011111110…
…00110000100000000
3111020202202102200000
410301333012010000
541003144401114
62205222400000
7241133541660
oct46177060400
914222672600
105133590784
1121a4861813
12bb3290000
1363a7338aa
14369b181a0
15200a43e09
hex131fc6100

5133590784 has 216 divisors, whose sum is σ = 17543897280. Its totient is φ = 1466615808.

The previous prime is 5133590773. The next prime is 5133590797. The reversal of 5133590784 is 4870953315.

5133590784 is a `hidden beast` number, since 51 + 3 + 3 + 590 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 429562 + ... + 441350.

Almost surely, 25133590784 is an apocalyptic number.

5133590784 is a gapful number since it is divisible by the number (54) 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 5133590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771948640).

5133590784 is an abundant number, since it is smaller than the sum of its proper divisors (12410306496).

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

5133590784 is an equidigital number, since it uses as much as digits as its factorization.

5133590784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11827 (or 11801 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5133590784 is about 71649.0808315082. The cubic root of 5133590784 is about 1725.0714284222.

The spelling of 5133590784 in words is "five billion, one hundred thirty-three million, five hundred ninety thousand, seven hundred eighty-four".