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5105134064 = 243143594057
BaseRepresentation
bin1001100000100101…
…00010100111110000
3111011210012200101102
410300102202213300
540423403242224
62202324423532
7240336631532
oct46022424760
914153180342
105105134064
11218a795868
12ba5847ba8
1363487c1b4
1436602b852
151ed2c24ae
hex1304a29f0

5105134064 has 80 divisors (see below), whose sum is σ = 10627415040. Its totient is φ = 2371299840.

The previous prime is 5105134019. The next prime is 5105134079. The reversal of 5105134064 is 4604315015.

It is a happy number.

It is a super-2 number, since 2×51051340642 = 52124787622826312192, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1256324 + ... + 1260380.

It is an arithmetic number, because the mean of its divisors is an integer number (132842688).

Almost surely, 25105134064 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 5105134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313707520).

5105134064 is an abundant number, since it is smaller than the sum of its proper divisors (5522280976).

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

5105134064 is a wasteful number, since it uses less digits than its factorization.

5105134064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5105134064 is about 71450.2208813941. The cubic root of 5105134064 is about 1721.8780262019.

Adding to 5105134064 its reverse (4604315015), we get a palindrome (9709449079).

The spelling of 5105134064 in words is "five billion, one hundred five million, one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 31 43 59 62 86 118 124 172 236 248 344 472 496 688 944 1333 1829 2537 2666 3658 4057 5074 5332 7316 8114 10148 10664 14632 16228 20296 21328 29264 32456 40592 64912 78647 125767 157294 174451 239363 251534 314588 348902 478726 503068 629176 697804 957452 1006136 1258352 1395608 1914904 2012272 2791216 3829808 5407981 7420253 10292609 10815962 14840506 20585218 21631924 29681012 41170436 43263848 59362024 82340872 86527696 118724048 164681744 319070879 638141758 1276283516 2552567032 5105134064