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20413042029 = 3229767310193
BaseRepresentation
bin10011000000101101…
…100100110101101101
31221200121201222101200
4103000231210311231
5313301214321104
613213322200113
71321565665032
oct230055446555
957617658350
1020413042029
1187256a2676
123b58353039
131c041345c3
14db90c3389
157e7158b39
hex4c0b64d6d

20413042029 has 24 divisors (see below), whose sum is σ = 30509214840. Its totient is φ = 13136428032.

The previous prime is 20413042019. The next prime is 20413042031. The reversal of 20413042029 is 92024031402.

20413042029 is a `hidden beast` number, since 204 + 1 + 30 + 420 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6203925225 + 14209116804 = 78765^2 + 119202^2 .

It is not a de Polignac number, because 20413042029 - 25 = 20413041997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20413041993 and 20413042011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413042019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997557 + ... + 2007749.

It is an arithmetic number, because the mean of its divisors is an integer number (1271217285).

Almost surely, 220413042029 is an apocalyptic number.

20413042029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20413042029 is a deficient number, since it is larger than the sum of its proper divisors (10096172811).

20413042029 is a wasteful number, since it uses less digits than its factorization.

20413042029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17901 (or 17898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20413042029 in words is "twenty billion, four hundred thirteen million, forty-two thousand, twenty-nine".

Divisors: 1 3 9 29 87 261 7673 10193 23019 30579 69057 91737 222517 295597 667551 886791 2002653 2660373 78210889 234632667 703898001 2268115781 6804347343 20413042029