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2264085977281 is a prime number
BaseRepresentation
bin100000111100100110000…
…010100101100011000001
322000110000001012111022121
4200330212002211203001
5244043322002233111
64452035020004241
7322401106163002
oct40744602454301
98013001174277
102264085977281
117a3214567277
12306965990681
1313566b9a605b
147b821d591a9
153dd6275e871
hex20f260a58c1

2264085977281 has 2 divisors, whose sum is σ = 2264085977282. Its totient is φ = 2264085977280.

The previous prime is 2264085977269. The next prime is 2264085977291. The reversal of 2264085977281 is 1827795804622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2148921446400 + 115164530881 = 1465920^2 + 339359^2 .

It is a cyclic number.

It is not a de Polignac number, because 2264085977281 - 241 = 65062721729 is a prime.

It is a super-2 number, since 2×22640859772812 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2264085977291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1132042988640 + 1132042988641.

It is an arithmetic number, because the mean of its divisors is an integer number (1132042988641).

Almost surely, 22264085977281 is an apocalyptic number.

It is an amenable number.

2264085977281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2264085977281 is an equidigital number, since it uses as much as digits as its factorization.

2264085977281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 2264085977281 in words is "two trillion, two hundred sixty-four billion, eighty-five million, nine hundred seventy-seven thousand, two hundred eighty-one".