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5005261264 = 242967233691
BaseRepresentation
bin1001010100101011…
…00011100111010000
3110220211021121122211
410222111203213100
540222321330024
62144400041504
7235015006303
oct45225434720
913824247584
105005261264
112139380963
12b78303294
13619c81573
14356a70b3a
151e4645594
hex12a5639d0

5005261264 has 80 divisors (see below), whose sum is σ = 10240326720. Its totient is φ = 2366622720.

The previous prime is 5005261259. The next prime is 5005261277. The reversal of 5005261264 is 4621625005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7243159 + ... + 7243849.

It is an arithmetic number, because the mean of its divisors is an integer number (128004084).

Almost surely, 25005261264 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 5005261264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120163360).

5005261264 is an abundant number, since it is smaller than the sum of its proper divisors (5235065456).

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

5005261264 is a wasteful number, since it uses less digits than its factorization.

5005261264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5005261264 is about 70747.8710916449. The cubic root of 5005261264 is about 1710.5755120870.

Adding to 5005261264 its reverse (4621625005), we get a palindrome (9626886269).

The spelling of 5005261264 in words is "five billion, five million, two hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 233 268 464 466 536 691 932 1072 1382 1864 1943 2764 3728 3886 5528 6757 7772 11056 13514 15544 15611 20039 27028 31088 31222 40078 46297 54056 62444 80156 92594 108112 124888 160312 161003 185188 249776 320624 322006 370376 452719 644012 740752 905438 1288024 1342613 1810876 2576048 2685226 3621752 4669087 5370452 7243504 9338174 10740904 10787201 18676348 21481808 21574402 37352696 43148804 74705392 86297608 172595216 312828829 625657658 1251315316 2502630632 5005261264