Search a number
-
+
1629129037 is a prime number
BaseRepresentation
bin110000100011010…
…1000100101001101
311012112111022220111
41201012220211031
511314024112122
6425353520021
755241240224
oct14106504515
94175438814
101629129037
11766667838
12395713011
131cc6944a3
14116517cbb
1598054d77
hex611a894d

1629129037 has 2 divisors, whose sum is σ = 1629129038. Its totient is φ = 1629129036.

The previous prime is 1629129001. The next prime is 1629129043. The reversal of 1629129037 is 7309219261.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1513910281 + 115218756 = 38909^2 + 10734^2 .

It is a cyclic number.

It is not a de Polignac number, because 1629129037 - 27 = 1629128909 is a prime.

It is a super-2 number, since 2×16291290372 = 5308122838393094738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1629129937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 814564518 + 814564519.

It is an arithmetic number, because the mean of its divisors is an integer number (814564519).

Almost surely, 21629129037 is an apocalyptic number.

It is an amenable number.

1629129037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1629129037 is an equidigital number, since it uses as much as digits as its factorization.

1629129037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1629129037 is about 40362.4706503455. The cubic root of 1629129037 is about 1176.6622706685.

The spelling of 1629129037 in words is "one billion, six hundred twenty-nine million, one hundred twenty-nine thousand, thirty-seven".