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5005682500 = 225471322003
BaseRepresentation
bin1001010100101110…
…01010011101000100
3110220212002000111011
410222113022131010
540222423320000
62144413052004
7235021412350
oct45227123504
913825060434
105005682500
112139639395
12b78487004
1361a09b210
14356b40460
151e46ca2ba
hex12a5ca744

5005682500 has 120 divisors (see below), whose sum is σ = 13473137216. Its totient is φ = 1584144000.

The previous prime is 5005682459. The next prime is 5005682519. The reversal of 5005682500 is 52865005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216499 + ... + 238501.

Almost surely, 25005682500 is an apocalyptic number.

5005682500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736568608).

5005682500 is an abundant number, since it is smaller than the sum of its proper divisors (8467454716).

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

5005682500 is a wasteful number, since it uses less digits than its factorization.

5005682500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22047 (or 22030 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 5005682500 is about 70750.8480514545. The cubic root of 5005682500 is about 1710.6234973127.

The spelling of 5005682500 in words is "five billion, five million, six hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 125 130 140 175 182 250 260 325 350 364 455 500 625 650 700 875 910 1250 1300 1625 1750 1820 2275 2500 3250 3500 4375 4550 6500 8125 8750 9100 11375 16250 17500 22003 22750 32500 44006 45500 56875 88012 110015 113750 154021 220030 227500 286039 308042 440060 550075 572078 616084 770105 1100150 1144156 1430195 1540210 2002273 2200300 2750375 2860390 3080420 3850525 4004546 5500750 5720780 7150975 7701050 8009092 10011365 11001500 13751875 14301950 15402100 19252625 20022730 27503750 28603900 35754875 38505250 40045460 50056825 55007500 71509750 77010500 96263125 100113650 143019500 178774375 192526250 200227300 250284125 357548750 385052500 500568250 715097500 1001136500 1251420625 2502841250 5005682500