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5005104544 = 25111031271087
BaseRepresentation
bin1001010100101001…
…11101010110100000
3110220210222122200101
410222110331112200
540222301321134
62144352432144
7235013454346
oct45224752640
913823878611
105005104544
112139284140
12b78248654
13619c2812b
14356a2d996
151e4613e14
hex12a53d5a0

5005104544 has 96 divisors (see below), whose sum is σ = 10949492736. Its totient is φ = 2233163520.

The previous prime is 5005104539. The next prime is 5005104547. The reversal of 5005104544 is 4454015005.

It is not an unprimeable number, because it can be changed into a prime (5005104547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4603969 + ... + 4605055.

It is an arithmetic number, because the mean of its divisors is an integer number (114057216).

Almost surely, 25005104544 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 5005104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474746368).

5005104544 is an abundant number, since it is smaller than the sum of its proper divisors (5944388192).

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

5005104544 is a wasteful number, since it uses less digits than its factorization.

5005104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 5005104544 is about 70746.7634878091. The cubic root of 5005104544 is about 1710.5576585939.

Adding to 5005104544 its reverse (4454015005), we get a palindrome (9459119549).

The spelling of 5005104544 in words is "five billion, five million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 127 176 206 254 352 412 508 824 1016 1087 1133 1397 1648 2032 2174 2266 2794 3296 4064 4348 4532 5588 8696 9064 11176 11957 13081 17392 18128 22352 23914 26162 34784 36256 44704 47828 52324 95656 104648 111961 138049 143891 191312 209296 223922 276098 287782 382624 418592 447844 552196 575564 895688 1104392 1151128 1231571 1518539 1791376 2208784 2302256 2463142 3037078 3582752 4417568 4604512 4926284 6074156 9852568 12148312 14219047 19705136 24296624 28438094 39410272 48593248 56876188 113752376 156409517 227504752 312819034 455009504 625638068 1251276136 2502552272 5005104544