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20729145269 = 724110318141
BaseRepresentation
bin10011010011100011…
…011010011110110101
31222111122112200112002
4103103203122132311
5314423130122034
613304533305045
71332454553600
oct232343323665
958448480462
1020729145269
118878075718
124026195185
131c5477cc41
141009089337
15814c98e7e
hex4d38da7b5

20729145269 has 12 divisors (see below), whose sum is σ = 24701631948. Its totient is φ = 17334475200.

The previous prime is 20729145263. The next prime is 20729145289. The reversal of 20729145269 is 96254192702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8581799044 + 12147346225 = 92638^2 + 110215^2 .

It is not a de Polignac number, because 20729145269 - 28 = 20729145013 is a prime.

It is a super-2 number, since 2×207291452692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20729145263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5157062 + ... + 5161079.

It is an arithmetic number, because the mean of its divisors is an integer number (2058469329).

Almost surely, 220729145269 is an apocalyptic number.

It is an amenable number.

20729145269 is a deficient number, since it is larger than the sum of its proper divisors (3972486679).

20729145269 is a wasteful number, since it uses less digits than its factorization.

20729145269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318196 (or 10318189 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 20729145269 in words is "twenty billion, seven hundred twenty-nine million, one hundred forty-five thousand, two hundred sixty-nine".

Divisors: 1 7 41 49 287 2009 10318141 72226987 423043781 505588909 2961306467 20729145269