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5264360640 = 2633571141193
BaseRepresentation
bin1001110011100011…
…11100010011000000
3111120212211020012000
410321301330103000
541240134020030
62230213304000
7244312220130
oct47161742300
914525736160
105264360640
11226165a080
12102b035000
1365b85b8c6
1437d238ac0
1520c275860
hex139c7c4c0

5264360640 has 896 divisors, whose sum is σ = 23841699840. Its totient is φ = 1061683200.

The previous prime is 5264360611. The next prime is 5264360653. The reversal of 5264360640 is 460634625.

5264360640 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 3 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5264360595 and 5264360604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27276384 + ... + 27276576.

It is an arithmetic number, because the mean of its divisors is an integer number (26609040).

Almost surely, 25264360640 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 5264360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920849920).

5264360640 is an abundant number, since it is smaller than the sum of its proper divisors (18577339200).

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

5264360640 is a wasteful number, since it uses less digits than its factorization.

5264360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5264360640 is about 72555.9138871533. The cubic root of 5264360640 is about 1739.5965771029.

The spelling of 5264360640 in words is "five billion, two hundred sixty-four million, three hundred sixty thousand, six hundred forty".