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20085692176 = 2411232212
BaseRepresentation
bin10010101101001100…
…110101011100010000
31220211210202212211001
4102231030311130100
5312113414122201
613121030031344
71310512365214
oct225514653420
956753685731
1020085692176
118577938900
123a867a8554
131b8137bb74
14d87830944
157c8546301
hex4ad335710

20085692176 has 45 divisors (see below), whose sum is σ = 42788753749. Its totient is φ = 9127025600.

The previous prime is 20085692131. The next prime is 20085692177. The reversal of 20085692176 is 67129658002.

The square root of 20085692176 is 141724.

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., 15494274576 + 4591417600 = 124476^2 + 67760^2 .

It is a super-2 number, since 2×200856921762 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20085692177) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6234246 + ... + 6237466.

Almost surely, 220085692176 is an apocalyptic number.

20085692176 is the 141724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20085692176

20085692176 is an abundant number, since it is smaller than the sum of its proper divisors (22703061573).

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

20085692176 is an frugal number, since it uses more digits than its factorization.

20085692176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 20085692176 in words is "twenty billion, eighty-five million, six hundred ninety-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3221 6442 12884 25768 35431 51536 70862 141724 283448 389741 566896 779482 1558964 3117928 6235856 10374841 20749682 41499364 82998728 114123251 165997456 228246502 456493004 912986008 1255355761 1825972016 2510711522 5021423044 10042846088 20085692176