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20368712961 = 3211324212
BaseRepresentation
bin10010111110000100…
…011110010100000001
31221120112022211100100
4102332010132110001
5313203342303321
613205100113013
71320520126542
oct227604362401
957515284310
1020368712961
118702675583
123b45535769
131bc7bb349c
14db32644c9
157e32ee326
hex4be11e501

20368712961 has 27 divisors (see below), whose sum is σ = 29754821577. Its totient is φ = 13427003520.

The previous prime is 20368712941. The next prime is 20368712971. The reversal of 20368712961 is 16921786302.

The square root of 20368712961 is 142719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19548234225 + 820478736 = 139815^2 + 28644^2 .

It is not a de Polignac number, because 20368712961 - 221 = 20366615809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20368712941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48381531 + ... + 48381951.

Almost surely, 220368712961 is an apocalyptic number.

20368712961 is the 142719-th square number.

20368712961 is the 71360-th centered octagonal number.

It is an amenable number.

20368712961 is a deficient number, since it is larger than the sum of its proper divisors (9386108616).

20368712961 is an frugal number, since it uses more digits than its factorization.

20368712961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20368712961 in words is "twenty billion, three hundred sixty-eight million, seven hundred twelve thousand, nine hundred sixty-one".

Divisors: 1 3 9 113 339 421 1017 1263 3789 12769 38307 47573 114921 142719 177241 428157 531723 1595169 5375749 16127247 20028233 48381741 60084699 180254097 2263190329 6789570987 20368712961