Search a number
-
+
2054593729 is a prime number
BaseRepresentation
bin111101001110110…
…1001110011000001
312022012002011202001
41322131221303001
513201433444404
6535513024001
7101625521116
oct17235516301
95265064661
102054593729
11964845751
124940b5001
13269880646
14156c2a90d
15c05987a4
hex7a769cc1

2054593729 has 2 divisors, whose sum is σ = 2054593730. Its totient is φ = 2054593728.

The previous prime is 2054593699. The next prime is 2054593741. The reversal of 2054593729 is 9273954502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2036446129 + 18147600 = 45127^2 + 4260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2054593729 is a prime.

It is a super-2 number, since 2×20545937292 = 8442710782492250882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2054593799) 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, 1027296864 + 1027296865.

It is an arithmetic number, because the mean of its divisors is an integer number (1027296865).

Almost surely, 22054593729 is an apocalyptic number.

It is an amenable number.

2054593729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2054593729 is an equidigital number, since it uses as much as digits as its factorization.

2054593729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 2054593729 is about 45327.6265537917. The cubic root of 2054593729 is about 1271.2822581568.

The spelling of 2054593729 in words is "two billion, fifty-four million, five hundred ninety-three thousand, seven hundred twenty-nine".