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20893835209 = 132111192
BaseRepresentation
bin10011011101010111…
…101001111111001001
31222221010102210122111
4103131113221333021
5320242310211314
613333135222321
71336524445312
oct233527517711
958833383574
1020893835209
118952030705
1240713779a1
131c7c923300
141022cb9609
1582447aec4
hex4dd5e9fc9

20893835209 has 9 divisors (see below), whose sum is σ = 22626720423. Its totient is φ = 19284882552.

The previous prime is 20893835201. The next prime is 20893835231. The reversal of 20893835209 is 90253839802.

The square root of 20893835209 is 144547.

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., 3090804025 + 17803031184 = 55595^2 + 133428^2 .

It is not a de Polignac number, because 20893835209 - 23 = 20893835201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20893835201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1873552 + ... + 1884670.

It is an arithmetic number, because the mean of its divisors is an integer number (2514080047).

Almost surely, 220893835209 is an apocalyptic number.

20893835209 is the 144547-th square number.

20893835209 is the 72274-th centered octagonal number.

It is an amenable number.

20893835209 is a deficient number, since it is larger than the sum of its proper divisors (1732885214).

20893835209 is an frugal number, since it uses more digits than its factorization.

20893835209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22264 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 20893835209 by its sum of digits (49), we get a square (1023797925241 = 10118292).

The spelling of 20893835209 in words is "twenty billion, eight hundred ninety-three million, eight hundred thirty-five thousand, two hundred nine".

Divisors: 1 13 169 11119 144547 1879111 123632161 1607218093 20893835209