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1138500064 = 2513171937229
BaseRepresentation
bin100001111011100…
…0010000111100000
32221100021210111001
41003313002013200
54312424000224
6304550001344
740133043112
oct10367020740
92840253431
101138500064
11534720a49
12279346254
13151b408a0
14ab2c13b2
1569e3d544
hex43dc21e0

1138500064 has 192 divisors, whose sum is σ = 2775124800. Its totient is φ = 453869568.

The previous prime is 1138500061. The next prime is 1138500071. The reversal of 1138500064 is 4600058311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138500061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4971502 + ... + 4971730.

It is an arithmetic number, because the mean of its divisors is an integer number (14453775).

Almost surely, 21138500064 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 1138500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387562400).

1138500064 is an abundant number, since it is smaller than the sum of its proper divisors (1636624736).

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

1138500064 is a wasteful number, since it uses less digits than its factorization.

1138500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1138500064 is about 33741.6665859883. Note that the first 3 decimals coincide. The cubic root of 1138500064 is about 1044.1855681256.

Adding to 1138500064 its reverse (4600058311), we get a palindrome (5738558375).

The spelling of 1138500064 in words is "one billion, one hundred thirty-eight million, five hundred thousand, sixty-four".