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242767251212753 is a prime number
BaseRepresentation
bin110111001100101110100111…
…110001011000100111010001
31011211120022201010220220020102
4313030232213301120213101
5223304444312302302003
62220153422515022145
7102064232540522531
oct6714564761304721
91154508633826212
10242767251212753
1170398016420373
1223289b0529a955
13a55cb13366447
1443d3dd77b74c1
151d0edeee81588
hexdccba7c589d1

242767251212753 has 2 divisors, whose sum is σ = 242767251212754. Its totient is φ = 242767251212752.

The previous prime is 242767251212749. The next prime is 242767251212777. The reversal of 242767251212753 is 357212152767242.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241435876774849 + 1331374437904 = 15538207^2 + 1153852^2 .

It is a cyclic number.

It is not a de Polignac number, because 242767251212753 - 22 = 242767251212749 is a prime.

It is a super-2 number, since 2×2427672512127532 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242767251218753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121383625606376 + 121383625606377.

It is an arithmetic number, because the mean of its divisors is an integer number (121383625606377).

Almost surely, 2242767251212753 is an apocalyptic number.

It is an amenable number.

242767251212753 is a deficient number, since it is larger than the sum of its proper divisors (1).

242767251212753 is an equidigital number, since it uses as much as digits as its factorization.

242767251212753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19756800, while the sum is 56.

The spelling of 242767251212753 in words is "two hundred forty-two trillion, seven hundred sixty-seven billion, two hundred fifty-one million, two hundred twelve thousand, seven hundred fifty-three".