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5000834064 = 2432338311827
BaseRepresentation
bin1001010100001001…
…01010110000010000
3110220111221200200110
410222010222300100
540220203142224
62144121121320
7234632250102
oct45204526020
913814850613
105000834064
112136927716
12b76929240
13619091415
1435623b572
151e406d929
hex12a12ac10

5000834064 has 80 divisors (see below), whose sum is σ = 13516849152. Its totient is φ = 1590171264.

The previous prime is 5000834051. The next prime is 5000834071. The reversal of 5000834064 is 4604380005.

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 15 ways as a sum of consecutive naturals, for example, 416919 + ... + 428745.

Almost surely, 25000834064 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 5000834064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758424576).

5000834064 is an abundant number, since it is smaller than the sum of its proper divisors (8516015088).

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

5000834064 is a wasteful number, since it uses less digits than its factorization.

5000834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12244 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5000834064 is about 70716.5755958248. The cubic root of 5000834064 is about 1710.0710233488.

The spelling of 5000834064 in words is "five billion, eight hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 383 552 766 1104 1149 1532 2298 3064 4596 6128 8809 9192 11827 17618 18384 23654 26427 35236 35481 47308 52854 70472 70962 94616 105708 140944 141924 189232 211416 272021 283848 422832 544042 567696 816063 1088084 1632126 2176168 3264252 4352336 4529741 6528504 9059482 13057008 13589223 18118964 27178446 36237928 54356892 72475856 104184043 108713784 208368086 217427568 312552129 416736172 625104258 833472344 1250208516 1666944688 2500417032 5000834064