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5325856704 = 263374110739
BaseRepresentation
bin1001111010111001…
…00001111111000000
3111202011112112221000
410331130201333000
541401404403304
62240251332000
7245660015010
oct47534417700
914664475830
105325856704
112293341a73
121047751000
1366b5107cc
14387485c40
15212871939
hex13d721fc0

5325856704 has 224 divisors, whose sum is σ = 18331891200. Its totient is φ = 1484421120.

The previous prime is 5325856687. The next prime is 5325856709. The reversal of 5325856704 is 4076585235.

5325856704 is a `hidden beast` number, since 5 + 3 + 2 + 585 + 67 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 5325856704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5325856709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490567 + ... + 501305.

It is an arithmetic number, because the mean of its divisors is an integer number (81838800).

Almost surely, 25325856704 is an apocalyptic number.

5325856704 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 5325856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165945600).

5325856704 is an abundant number, since it is smaller than the sum of its proper divisors (13006034496).

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

5325856704 is a wasteful number, since it uses less digits than its factorization.

5325856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5325856704 is about 72978.4673996378. The cubic root of 5325856704 is about 1746.3441180004.

The spelling of 5325856704 in words is "five billion, three hundred twenty-five million, eight hundred fifty-six thousand, seven hundred four".