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2772089240849 is a prime number
BaseRepresentation
bin101000010101101101011…
…001001111110100010001
3100211000020122222010020022
4220111231121033310101
5330404214321201344
65521251420553225
7404163645524315
oct50255531176421
910730218863208
102772089240849
11979700121085
123892bb0b2815
13171539c3a536
1498254055b45
154c195cd50ee
hex2856d64fd11

2772089240849 has 2 divisors, whose sum is σ = 2772089240850. Its totient is φ = 2772089240848.

The previous prime is 2772089240783. The next prime is 2772089240857. The reversal of 2772089240849 is 9480429802772.

2772089240849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1872518560000 + 899570680849 = 1368400^2 + 948457^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772089240849 - 28 = 2772089240593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2772089240791 and 2772089240800.

It is not a weakly prime, because it can be changed into another prime (2772089243849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386044620424 + 1386044620425.

It is an arithmetic number, because the mean of its divisors is an integer number (1386044620425).

Almost surely, 22772089240849 is an apocalyptic number.

It is an amenable number.

2772089240849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772089240849 is an equidigital number, since it uses as much as digits as its factorization.

2772089240849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32514048, while the sum is 62.

The spelling of 2772089240849 in words is "two trillion, seven hundred seventy-two billion, eighty-nine million, two hundred forty thousand, eight hundred forty-nine".