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2028072961 is a prime number
BaseRepresentation
bin111100011100001…
…1111000000000001
312020100011210002101
41320320133000001
513123141313321
6533124350401
7101154223105
oct17070370001
95210153071
102028072961
11950881262
12487245401
13264226195
141534c5905
15bd0aa791
hex78e1f001

2028072961 has 2 divisors, whose sum is σ = 2028072962. Its totient is φ = 2028072960.

The previous prime is 2028072923. The next prime is 2028072973. The reversal of 2028072961 is 1692708202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1445140225 + 582932736 = 38015^2 + 24144^2 .

It is a cyclic number.

It is not a de Polignac number, because 2028072961 - 215 = 2028040193 is a prime.

It is a super-2 number, since 2×20280729612 = 8226159870278615042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2028072961.

It is not a weakly prime, because it can be changed into another prime (2028072061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1014036480 + 1014036481.

It is an arithmetic number, because the mean of its divisors is an integer number (1014036481).

Almost surely, 22028072961 is an apocalyptic number.

It is an amenable number.

2028072961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2028072961 is an equidigital number, since it uses as much as digits as its factorization.

2028072961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2028072961 is about 45034.1310674471. The cubic root of 2028072961 is about 1265.7886339388.

The spelling of 2028072961 in words is "two billion, twenty-eight million, seventy-two thousand, nine hundred sixty-one".