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5260973760 = 263357372351
BaseRepresentation
bin1001110011001010…
…00001011011000000
3111120122110011021000
410321211001123000
541233302130020
62230012532000
7244241352630
oct47145013300
914518404230
105260973760
11225a7564a9
121029a81000
1365ac44133
1437c9d66c0
1520bd07090
hex1399416c0

5260973760 has 448 divisors, whose sum is σ = 21793443840. Its totient is φ = 1169510400.

The previous prime is 5260973743. The next prime is 5260973789. The reversal of 5260973760 is 673790625.

5260973760 is a `hidden beast` number, since 5 + 2 + 609 + 7 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2236585 + ... + 2238935.

It is an arithmetic number, because the mean of its divisors is an integer number (48646080).

Almost surely, 25260973760 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 5260973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896721920).

5260973760 is an abundant number, since it is smaller than the sum of its proper divisors (16532470080).

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

5260973760 is a wasteful number, since it uses less digits than its factorization.

5260973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 5260973760 is about 72532.5703391242. The cubic root of 5260973760 is about 1739.2234346818.

The spelling of 5260973760 in words is "five billion, two hundred sixty million, nine hundred seventy-three thousand, seven hundred sixty".