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5005325304 = 2332721937351
BaseRepresentation
bin1001010100101011…
…10011001111111000
3110220211101212111200
410222111303033320
540222330402204
62144401254200
7235015364100
oct45225631770
913824355450
105005325304
112139414a91
12b78334360
13619ca4765
14356a8a200
151e4659539
hex12a5733f8

5005325304 has 144 divisors (see below), whose sum is σ = 15853191120. Its totient is φ = 1422489600.

The previous prime is 5005325291. The next prime is 5005325309. The reversal of 5005325304 is 4035235005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005325309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677229 + ... + 684579.

It is an arithmetic number, because the mean of its divisors is an integer number (110091605).

Almost surely, 25005325304 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 5005325304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926595560).

5005325304 is an abundant number, since it is smaller than the sum of its proper divisors (10847865816).

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

5005325304 is a wasteful number, since it uses less digits than its factorization.

5005325304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5005325304 is about 70748.3236833213. The cubic root of 5005325304 is about 1710.5828073964.

It can be divided in two parts, 50053 and 25304, that added together give a palindrome (75357).

The spelling of 5005325304 in words is "five billion, five million, three hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 193 196 252 294 386 392 441 504 579 588 772 882 1158 1176 1351 1544 1737 1764 2316 2702 3474 3528 4053 4632 5404 6948 7351 8106 9457 10808 12159 13896 14702 16212 18914 22053 24318 28371 29404 32424 37828 44106 48636 51457 56742 58808 66159 75656 85113 88212 97272 102914 113484 132318 154371 170226 176424 205828 226968 264636 308742 340452 360199 411656 463113 529272 617484 680904 720398 926226 1080597 1234968 1418743 1440796 1852452 2161194 2837486 2881592 3241791 3704904 4256229 4322388 5674972 6483582 8512458 8644776 9931201 11349944 12768687 12967164 17024916 19862402 25537374 25934328 29793603 34049832 39724804 51074748 59587206 69518407 79449608 89380809 102149496 119174412 139036814 178761618 208555221 238348824 278073628 357523236 417110442 556147256 625665663 715046472 834220884 1251331326 1668441768 2502662652 5005325304