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272752104329 is a prime number
BaseRepresentation
bin1111111000000101001…
…0101101001110001001
3222002000120012111202222
43332001102231032021
513432044014314304
6325144532103425
725464023430305
oct3760122551611
9862016174688
10272752104329
11a57454a7a61
1244a40164b75
131c949994413
14d2b6410d05
1571654ad4be
hex3f814ad389

272752104329 has 2 divisors, whose sum is σ = 272752104330. Its totient is φ = 272752104328.

The previous prime is 272752104323. The next prime is 272752104343. The reversal of 272752104329 is 923401257272.

272752104329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252601734025 + 20150370304 = 502595^2 + 141952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-272752104329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 272752104329.

It is not a weakly prime, because it can be changed into another prime (272752104323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136376052164 + 136376052165.

It is an arithmetic number, because the mean of its divisors is an integer number (136376052165).

Almost surely, 2272752104329 is an apocalyptic number.

It is an amenable number.

272752104329 is a deficient number, since it is larger than the sum of its proper divisors (1).

272752104329 is an equidigital number, since it uses as much as digits as its factorization.

272752104329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 272752104329 in words is "two hundred seventy-two billion, seven hundred fifty-two million, one hundred four thousand, three hundred twenty-nine".