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5426319360 = 212357113137
BaseRepresentation
bin1010000110110111…
…10001000000000000
3112000011120120210010
411003123301000000
542103114204420
62254240504520
7251316645030
oct50333610000
915004516703
105426319360
11233501a060
12107531b140
13686286a77
143969578c0
1521b5b84e0
hex1436f1000

5426319360 has 832 divisors, whose sum is σ = 22948429824. Its totient is φ = 1061683200.

The previous prime is 5426319317. The next prime is 5426319377. The reversal of 5426319360 is 639136245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146657262 + ... + 146657298.

Almost surely, 25426319360 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 5426319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474214912).

5426319360 is an abundant number, since it is smaller than the sum of its proper divisors (17522110464).

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

5426319360 is a wasteful number, since it uses less digits than its factorization.

5426319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 5426319360 is about 73663.5551680748. Note that the first 3 decimals coincide. The cubic root of 5426319360 is about 1757.2563311703.

The spelling of 5426319360 in words is "five billion, four hundred twenty-six million, three hundred nineteen thousand, three hundred sixty".