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20407260105 = 3251726676157
BaseRepresentation
bin10011000000010111…
…100001001111001001
31221200012212020002100
4103000113201033021
5313243224310410
613212554224013
71321465564101
oct230027411711
957605766070
1020407260105
118722403621
123b56425009
131c02b8b94b
14db841a201
157e68b58c0
hex4c05e13c9

20407260105 has 24 divisors (see below), whose sum is σ = 37453325832. Its totient is φ = 10243643904.

The previous prime is 20407260101. The next prime is 20407260109. The reversal of 20407260105 is 50106270402.

It is an interprime number because it is at equal distance from previous prime (20407260101) and next prime (20407260109).

It can be written as a sum of positive squares in 4 ways, for example, as 1624009401 + 18783250704 = 40299^2 + 137052^2 .

It is not a de Polignac number, because 20407260105 - 22 = 20407260101 is a prime.

It is a super-2 number, since 2×204072601052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20407260101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13337314 + ... + 13338843.

It is an arithmetic number, because the mean of its divisors is an integer number (1560555243).

Almost surely, 220407260105 is an apocalyptic number.

It is an amenable number.

20407260105 is a deficient number, since it is larger than the sum of its proper divisors (17046065727).

20407260105 is a wasteful number, since it uses less digits than its factorization.

20407260105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26676185 (or 26676182 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20407260105 in words is "twenty billion, four hundred seven million, two hundred sixty thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 26676157 80028471 133380785 240085413 400142355 453494669 1200427065 1360484007 2267473345 4081452021 6802420035 20407260105