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20900460961 is a prime number
BaseRepresentation
bin10011011101110000…
…111011100110100001
31222221120220102110201
4103131300323212201
5320301004222321
613333533225201
71336634662342
oct233560734641
958846812421
1020900460961
118955846736
124073632201
131c81103083
141023b220c9
15824d39291
hex4ddc3b9a1

20900460961 has 2 divisors, whose sum is σ = 20900460962. Its totient is φ = 20900460960.

The previous prime is 20900460937. The next prime is 20900460967. The reversal of 20900460961 is 16906400902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20718723600 + 181737361 = 143940^2 + 13481^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20900460961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20900460961.

It is not a weakly prime, because it can be changed into another prime (20900460967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10450230480 + 10450230481.

It is an arithmetic number, because the mean of its divisors is an integer number (10450230481).

Almost surely, 220900460961 is an apocalyptic number.

It is an amenable number.

20900460961 is a deficient number, since it is larger than the sum of its proper divisors (1).

20900460961 is an equidigital number, since it uses as much as digits as its factorization.

20900460961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 20900460961 in words is "twenty billion, nine hundred million, four hundred sixty thousand, nine hundred sixty-one".