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2765128340041 is a prime number
BaseRepresentation
bin101000001111001110011…
…111100001001001001001
3100210100021112210201110021
4220033032133201021021
5330300440323340131
65514141000420441
7403526313042004
oct50171637411111
910710245721407
102765128340041
119767589522a1
12387a97a77721
1317099aa74112
1497b9379653b
154bdd9b40e11
hex283ce7e1249

2765128340041 has 2 divisors, whose sum is σ = 2765128340042. Its totient is φ = 2765128340040.

The previous prime is 2765128340033. The next prime is 2765128340047. The reversal of 2765128340041 is 1400438215672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2088834278400 + 676294061641 = 1445280^2 + 822371^2 .

It is a cyclic number.

It is not a de Polignac number, because 2765128340041 - 23 = 2765128340033 is a prime.

It is a super-2 number, since 2×27651283400412 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2765128340041.

It is not a weakly prime, because it can be changed into another prime (2765128340047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1382564170020 + 1382564170021.

It is an arithmetic number, because the mean of its divisors is an integer number (1382564170021).

Almost surely, 22765128340041 is an apocalyptic number.

It is an amenable number.

2765128340041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2765128340041 is an equidigital number, since it uses as much as digits as its factorization.

2765128340041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 2765128340041 in words is "two trillion, seven hundred sixty-five billion, one hundred twenty-eight million, three hundred forty thousand, forty-one".