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2754592652129 is a prime number
BaseRepresentation
bin101000000101011010100…
…001000011101101100001
3100202100002022001022122212
4220011122201003231201
5330112401204332004
65505235320211505
7403004242134503
oct50053241035541
910670068038585
102754592652129
11972241815aaa
12385a37609b95
1316c9ac0b7966
149747442bd73
154b9bec1a96e
hex2815a843b61

2754592652129 has 2 divisors, whose sum is σ = 2754592652130. Its totient is φ = 2754592652128.

The previous prime is 2754592652111. The next prime is 2754592652131. The reversal of 2754592652129 is 9212562954572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2674036021504 + 80556630625 = 1635248^2 + 283825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2754592652129 is a prime.

It is a super-4 number, since 4×27545926521294 (a number of 51 digits) contains 4444 as substring.

Together with 2754592652131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2754592652029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1377296326064 + 1377296326065.

It is an arithmetic number, because the mean of its divisors is an integer number (1377296326065).

Almost surely, 22754592652129 is an apocalyptic number.

It is an amenable number.

2754592652129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2754592652129 is an equidigital number, since it uses as much as digits as its factorization.

2754592652129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216000, while the sum is 59.

The spelling of 2754592652129 in words is "two trillion, seven hundred fifty-four billion, five hundred ninety-two million, six hundred fifty-two thousand, one hundred twenty-nine".