Search a number
-
+
20964756929 is a prime number
BaseRepresentation
bin10011100001100110…
…001100110111000001
32000010001212222221212
4103201212030313001
5320413434210204
613344151255505
71341345331214
oct234146146701
960101788855
1020964756929
1189890711a6
12409107a595
131c9152551c
14102c49b77b
1582a7d9c6e
hex4e198cdc1

20964756929 has 2 divisors, whose sum is σ = 20964756930. Its totient is φ = 20964756928.

The previous prime is 20964756907. The next prime is 20964756931. The reversal of 20964756929 is 92965746902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14869363600 + 6095393329 = 121940^2 + 78073^2 .

It is a cyclic number.

It is not a de Polignac number, because 20964756929 - 224 = 20947979713 is a prime.

It is a super-2 number, since 2×209647569292 (a number of 21 digits) contains 22 as substring.

Together with 20964756931, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20964776929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10482378464 + 10482378465.

It is an arithmetic number, because the mean of its divisors is an integer number (10482378465).

Almost surely, 220964756929 is an apocalyptic number.

It is an amenable number.

20964756929 is a deficient number, since it is larger than the sum of its proper divisors (1).

20964756929 is an equidigital number, since it uses as much as digits as its factorization.

20964756929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14696640, while the sum is 59.

The spelling of 20964756929 in words is "twenty billion, nine hundred sixty-four million, seven hundred fifty-six thousand, nine hundred twenty-nine".