Search a number
-
+
9629907137 is a prime number
BaseRepresentation
bin10001111011111110…
…01011100011000001
3220212010100222011022
420331333023203001
5124210224012022
64231322155225
7460431601004
oct107577134301
926763328138
109629907137
1140a1916844
121a49052b15
13ba611a806
14674d4553b
153b5655c42
hex23dfcb8c1

9629907137 has 2 divisors, whose sum is σ = 9629907138. Its totient is φ = 9629907136.

The previous prime is 9629907113. The next prime is 9629907149. The reversal of 9629907137 is 7317099269.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5606415376 + 4023491761 = 74876^2 + 63431^2 .

It is an emirp because it is prime and its reverse (7317099269) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9629907137 is a prime.

It is a super-2 number, since 2×96299071372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9629903137) 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, 4814953568 + 4814953569.

It is an arithmetic number, because the mean of its divisors is an integer number (4814953569).

Almost surely, 29629907137 is an apocalyptic number.

It is an amenable number.

9629907137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9629907137 is an equidigital number, since it uses as much as digits as its factorization.

9629907137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1285956, while the sum is 53.

The square root of 9629907137 is about 98132.0902508451. The cubic root of 9629907137 is about 2127.5218695876.

It can be divided in two parts, 962 and 9907137, that added together give a palindrome (9908099).

The spelling of 9629907137 in words is "nine billion, six hundred twenty-nine million, nine hundred seven thousand, one hundred thirty-seven".