Search a number
-
+
20094769632961 = 47212727512
BaseRepresentation
bin1001001000110101011011…
…00110110001011011000001
32122011001010001020200011201
410210122231212301123001
510113213042011223321
6110423224300141201
74142541060430612
oct444325546613301
978131101220151
1020094769632961
116448164651a51
122306601837801
13b29c0c30752a
144d68407b1c09
1524ca9ed12291
hex1246ad9b16c1

20094769632961 has 27 divisors (see below), whose sum is σ = 20721944748897. Its totient is φ = 19486379493000.

The previous prime is 20094769632947. The next prime is 20094769633009. The reversal of 20094769632961 is 16923696749002.

The square root of 20094769632961 is 4482719.

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

It is a de Polignac number, because none of the positive numbers 2k-20094769632961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20094769632893 and 20094769632902.

It is not an unprimeable number, because it can be changed into a prime (20094769632911) 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, 26757349336 + ... + 26757350086.

Almost surely, 220094769632961 is an apocalyptic number.

20094769632961 is the 4482719-th square number.

20094769632961 is the 2241360-th centered octagonal number.

It is an amenable number.

20094769632961 is a deficient number, since it is larger than the sum of its proper divisors (627175115936).

20094769632961 is an frugal number, since it uses more digits than its factorization.

20094769632961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

The spelling of 20094769632961 in words is "twenty trillion, ninety-four billion, seven hundred sixty-nine million, six hundred thirty-two thousand, nine hundred sixty-one".

Divisors: 1 47 127 751 2209 5969 16129 35297 95377 280543 564001 758063 1658959 4482719 12112879 26508047 35628961 71628127 210687793 569305313 1245878209 3366521969 9096772129 26757349711 158226532543 427548290063 20094769632961