Search a number
-
+
20283822756 = 22322930416389
BaseRepresentation
bin10010111001000000…
…101001001010100100
31221100121120221212200
4102321000221022210
5313020124312011
613152424414500
71315436435331
oct227100511244
957317527780
1020283822756
11866976428a
123b21017430
131bb34302b2
14da5c87988
157dab31856
hex4b90292a4

20283822756 has 72 divisors (see below), whose sum is σ = 53066777400. Its totient is φ = 6524958720.

The previous prime is 20283822749. The next prime is 20283822809. The reversal of 20283822756 is 65722838202.

It is a happy number.

20283822756 is a `hidden beast` number, since 20 + 283 + 82 + 275 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2501600256 + 17782222500 = 50016^2 + 133350^2 .

It is a super-2 number, since 2×202838227562 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3171610 + ... + 3177998.

It is an arithmetic number, because the mean of its divisors is an integer number (737038575).

Almost surely, 220283822756 is an apocalyptic number.

It is an amenable number.

20283822756 is an abundant number, since it is smaller than the sum of its proper divisors (32782954644).

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

20283822756 is a wasteful number, since it uses less digits than its factorization.

20283822756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20283822756 in words is "twenty billion, two hundred eighty-three million, eight hundred twenty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 3041 6082 6389 9123 12164 12778 18246 19167 25556 27369 36492 38334 54738 57501 76668 88189 109476 115002 176378 185281 230004 264567 352756 370562 529134 555843 741124 793701 1058268 1111686 1587402 1667529 2223372 3174804 3335058 6670116 19428949 38857898 58286847 77715796 116573694 174860541 233147388 349721082 563439521 699442164 1126879042 1690318563 2253758084 3380637126 5070955689 6761274252 10141911378 20283822756