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20442010761 = 322271334529
BaseRepresentation
bin10011000010011100…
…000101010010001001
31221202122020202000200
4103002130011102021
5313331123321021
613220235122413
71322400140004
oct230234052211
957678222020
1020442010761
11873aa89277
123b65ba3409
131c0a138073
14dbcca453b
157e997c126
hex4c2705489

20442010761 has 6 divisors (see below), whose sum is σ = 29527348890. Its totient is φ = 13628007168.

The previous prime is 20442010741. The next prime is 20442010769. The reversal of 20442010761 is 16701024402.

It can be written as a sum of positive squares in only one way, i.e., 18839209536 + 1602801225 = 137256^2 + 40035^2 .

It is not a de Polignac number, because 20442010761 - 222 = 20437816457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20442010769) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1135667256 + ... + 1135667273.

It is an arithmetic number, because the mean of its divisors is an integer number (4921224815).

Almost surely, 220442010761 is an apocalyptic number.

It is an amenable number.

20442010761 is a deficient number, since it is larger than the sum of its proper divisors (9085338129).

20442010761 is a wasteful number, since it uses less digits than its factorization.

20442010761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271334535 (or 2271334532 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20442010761 in words is "twenty billion, four hundred forty-two million, ten thousand, seven hundred sixty-one".

Divisors: 1 3 9 2271334529 6814003587 20442010761