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2169756961 is a prime number
BaseRepresentation
bin1000000101010011…
…1101110100100001
312121012210001222221
42001110331310201
513420424210321
6555145231041
7104524426021
oct20124756441
95535701887
102169756961
11a13853579
12506792481
132876a2b78
14168247a81
15ca745e41
hex8153dd21

2169756961 has 2 divisors, whose sum is σ = 2169756962. Its totient is φ = 2169756960.

The previous prime is 2169756949. The next prime is 2169756973. The reversal of 2169756961 is 1696579612.

It is a balanced prime because it is at equal distance from previous prime (2169756949) and next prime (2169756973).

It can be written as a sum of positive squares in only one way, i.e., 2045300625 + 124456336 = 45225^2 + 11156^2 .

It is a cyclic number.

It is not a de Polignac number, because 2169756961 - 217 = 2169625889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2169756899 and 2169756908.

It is not a weakly prime, because it can be changed into another prime (2169756361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1084878480 + 1084878481.

It is an arithmetic number, because the mean of its divisors is an integer number (1084878481).

Almost surely, 22169756961 is an apocalyptic number.

2169756961 is the 20832-nd centered decagonal number.

It is an amenable number.

2169756961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2169756961 is an equidigital number, since it uses as much as digits as its factorization.

2169756961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1224720, while the sum is 52.

The square root of 2169756961 is about 46580.6500706034. The cubic root of 2169756961 is about 1294.6042550780.

The spelling of 2169756961 in words is "two billion, one hundred sixty-nine million, seven hundred fifty-six thousand, nine hundred sixty-one".