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4985772100 = 22522323072
BaseRepresentation
bin1001010010010110…
…01101100001000100
3110212110121110112221
410221023031201010
540202324201400
62142422222124
7234360235501
oct45113154104
913773543487
104985772100
11212937a411
12b71884944
13615c1980a
1435423a4a8
151e2a95c1a
hex1292cd844

4985772100 has 81 divisors (see below), whose sum is σ = 11346934557. Its totient is φ = 1901386080.

The previous prime is 4985772097. The next prime is 4985772119. The reversal of 4985772100 is 12775894.

The square root of 4985772100 is 70610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1794877956 + 3190894144 = 42366^2 + 56488^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 16240147 + ... + 16240453.

Almost surely, 24985772100 is an apocalyptic number.

4985772100 is the 70610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4985772100

4985772100 is an abundant number, since it is smaller than the sum of its proper divisors (6361162457).

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

4985772100 is a wasteful number, since it uses less digits than its factorization.

4985772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The cubic root of 4985772100 is about 1708.3524479849.

The spelling of 4985772100 in words is "four billion, nine hundred eighty-five million, seven hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 307 460 529 575 614 1058 1150 1228 1535 2116 2300 2645 3070 5290 6140 7061 7675 10580 13225 14122 15350 26450 28244 30700 35305 52900 70610 94249 141220 162403 176525 188498 324806 353050 376996 471245 649612 706100 812015 942490 1624030 1884980 2167727 2356225 3248060 4060075 4335454 4712450 8120150 8670908 9424900 10838635 16240300 21677270 43354540 49857721 54193175 99715442 108386350 199430884 216772700 249288605 498577210 997154420 1246443025 2492886050 4985772100