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20392696809 = 38412432
BaseRepresentation
bin10010111111011111…
…111101101111101001
31221122012110100000000
4102333133331233221
5313231012244214
613211314133213
71321231030362
oct227737755751
957565410000
1020392696809
118715166a41
123b51581209
131bccb60004
14db6508b69
157e548a809
hex4bf7fdbe9

20392696809 has 81 divisors (see below), whose sum is σ = 32097789399. Its totient is φ = 12955088160.

The previous prime is 20392696781. The next prime is 20392696829. The reversal of 20392696809 is 90869629302.

The square root of 20392696809 is 142803.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 982634409 + 19410062400 = 31347^2 + 139320^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 20392696809 - 211 = 20392694761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20392696829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 474248742 + ... + 474248784.

Almost surely, 220392696809 is an apocalyptic number.

20392696809 is the 142803-rd square number.

20392696809 is the 71402-nd centered octagonal number.

It is an amenable number.

20392696809 is a deficient number, since it is larger than the sum of its proper divisors (11705092590).

20392696809 is an frugal number, since it uses more digits than its factorization.

20392696809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 20392696809 in words is "twenty billion, three hundred ninety-two million, six hundred ninety-six thousand, eight hundred nine".

Divisors: 1 3 9 27 41 43 81 123 129 243 369 387 729 1107 1161 1681 1763 1849 2187 3321 3483 5043 5289 5547 6561 9963 10449 15129 15867 16641 29889 31347 45387 47601 49923 72283 75809 89667 94041 136161 142803 149769 216849 227427 269001 282123 408483 428409 449307 650547 682281 1225449 1285227 1347921 1951641 2046843 3108169 3676347 3855681 4043763 5854923 6140529 9324507 11029041 11567043 12131289 17564769 18421587 27973521 52694307 55264761 83920563 158082921 165794283 251761689 474248763 497382849 755285067 2265855201 6797565603 20392696809