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20440072305 = 335383395321
BaseRepresentation
bin10011000010010100…
…101100000001110001
31221202111121020222000
4103002110230001301
5313330124303210
613220125404213
71322344514352
oct230224540161
957674536860
1020440072305
118739984944
123b65409669
131c09909953
14dbc91bd29
157e96e7ac0
hex4c252c071

20440072305 has 32 divisors (see below), whose sum is σ = 36432875520. Its totient is φ = 10872881280.

The previous prime is 20440072283. The next prime is 20440072321. The reversal of 20440072305 is 50327004402.

20440072305 is a `hidden beast` number, since 20 + 4 + 400 + 7 + 230 + 5 = 666.

It is not a de Polignac number, because 20440072305 - 211 = 20440070257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 145956 + ... + 249365.

It is an arithmetic number, because the mean of its divisors is an integer number (1138527360).

Almost surely, 220440072305 is an apocalyptic number.

It is an amenable number.

20440072305 is a deficient number, since it is larger than the sum of its proper divisors (15992803215).

20440072305 is a wasteful number, since it uses less digits than its factorization.

20440072305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395718 (or 395712 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 20440072305 its reverse (50327004402), we get a palindrome (70767076707).

The spelling of 20440072305 in words is "twenty billion, four hundred forty million, seventy-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 383 1149 1915 3447 5745 10341 17235 51705 395321 1185963 1976605 3557889 5929815 10673667 17789445 53368335 151407943 454223829 757039715 1362671487 2271119145 4088014461 6813357435 20440072305