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20729145296 = 241776210093
BaseRepresentation
bin10011010011100011…
…011010011111010000
31222111122112200120002
4103103203122133100
5314423130122141
613304533305132
71332454553636
oct232343323720
958448480502
1020729145296
118878075742
1240261951a8
131c5477cc62
141009089356
15814c98e9b
hex4d38da7d0

20729145296 has 20 divisors (see below), whose sum is σ = 42525232452. Its totient is φ = 9754891776.

The previous prime is 20729145289. The next prime is 20729145341. The reversal of 20729145296 is 69254192702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10168705600 + 10560439696 = 100840^2 + 102764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20729145296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38104775 + ... + 38105318.

Almost surely, 220729145296 is an apocalyptic number.

It is an amenable number.

20729145296 is an abundant number, since it is smaller than the sum of its proper divisors (21796087156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20729145296 is a wasteful number, since it uses less digits than its factorization.

20729145296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76210118 (or 76210112 counting only the distinct ones).

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

The spelling of 20729145296 in words is "twenty billion, seven hundred twenty-nine million, one hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 76210093 152420186 304840372 609680744 1219361488 1295571581 2591143162 5182286324 10364572648 20729145296