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5264620395264 = 283243539191091
BaseRepresentation
bin100110010011100001111…
…0101000001101100000000
3200122021220110002000102100
41030213003311001230000
51142223420310122024
615110311101550400
71052233126003026
oct114470365015400
920567813060370
105264620395264
11174a792a680aa
1271039a875400
132c25b414bbc9
14142b47c06716
1591e28d697c9
hex4c9c3d41b00

5264620395264 has 432 divisors, whose sum is σ = 15857004683520. Its totient is φ = 1678351933440.

The previous prime is 5264620395217. The next prime is 5264620395269. The reversal of 5264620395264 is 4625930264625.

5264620395264 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 620 + 3 + 9 + 5 + 2 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5264620395264.

It is not an unprimeable number, because it can be changed into a prime (5264620395269) 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 47 ways as a sum of consecutive naturals, for example, 4825499359 + ... + 4825500449.

It is an arithmetic number, because the mean of its divisors is an integer number (36706029360).

Almost surely, 25264620395264 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 5264620395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928502341760).

5264620395264 is an abundant number, since it is smaller than the sum of its proper divisors (10592384288256).

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

5264620395264 is a wasteful number, since it uses less digits than its factorization.

5264620395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 5264620395264 in words is "five trillion, two hundred sixty-four billion, six hundred twenty million, three hundred ninety-five thousand, two hundred sixty-four".