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5264048640 = 293517231753
BaseRepresentation
bin1001110011100001…
…10000001000000000
3111120212020101012110
410321300300020000
541240044024030
62230202455320
7244306450404
oct47160601000
914525211173
105264048640
112261466724
12102ab04540
1365b77c8a6
1437d197104
1520c2131b0
hex139c30200

5264048640 has 320 divisors, whose sum is σ = 18603737856. Its totient is φ = 1263009792.

The previous prime is 5264048639. The next prime is 5264048641. The reversal of 5264048640 is 468404625.

It is an interprime number because it is at equal distance from previous prime (5264048639) and next prime (5264048641).

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5264048641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002004 + ... + 3003756.

Almost surely, 25264048640 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 5264048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301868928).

5264048640 is an abundant number, since it is smaller than the sum of its proper divisors (13339689216).

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

5264048640 is a wasteful number, since it uses less digits than its factorization.

5264048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 5264048640 is about 72553.7637893445. The cubic root of 5264048640 is about 1739.5622098491.

The spelling of 5264048640 in words is "five billion, two hundred sixty-four million, forty-eight thousand, six hundred forty".