Search a number
-
+
5391946560 = 26357111331181
BaseRepresentation
bin1010000010110001…
…01001001101000000
3111220202220021011110
411001120221031000
542020314242220
62251012043320
7250421534550
oct50130511500
914822807143
105391946560
112317682290
121065903540
1367c110630
1439216b160
15218578be0
hex141629340

5391946560 has 896 divisors, whose sum is σ = 23858085888. Its totient is φ = 995328000.

The previous prime is 5391946543. The next prime is 5391946561. The reversal of 5391946560 is 656491935.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5391946561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 29789670 + ... + 29789850.

It is an arithmetic number, because the mean of its divisors is an integer number (26627328).

Almost surely, 25391946560 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 5391946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929042944).

5391946560 is an abundant number, since it is smaller than the sum of its proper divisors (18466139328).

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

5391946560 is a wasteful number, since it uses less digits than its factorization.

5391946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 5391946560 is about 73429.8751190549. The cubic root of 5391946560 is about 1753.5380459780.

The spelling of 5391946560 in words is "five billion, three hundred ninety-one million, nine hundred forty-six thousand, five hundred sixty".