Search a number
-
+
938636129 is a prime number
BaseRepresentation
bin110111111100100…
…111001101100001
32102102012122201002
4313330213031201
53410242324004
6233050121345
732155163324
oct6774471541
92372178632
10938636129
11441921242
12222420255
1311c6034c2
148c9367bb
155760e61e
hex37f27361

938636129 has 2 divisors, whose sum is σ = 938636130. Its totient is φ = 938636128.

The previous prime is 938636123. The next prime is 938636131. The reversal of 938636129 is 921636839.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 892396129 + 46240000 = 29873^2 + 6800^2 .

It is an emirp because it is prime and its reverse (921636839) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-938636129 is a prime.

Together with 938636131, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 938636129 parts by 43327 straight cuts.

It is not a weakly prime, because it can be changed into another prime (938636123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 469318064 + 469318065.

It is an arithmetic number, because the mean of its divisors is an integer number (469318065).

Almost surely, 2938636129 is an apocalyptic number.

It is an amenable number.

938636129 is a deficient number, since it is larger than the sum of its proper divisors (1).

938636129 is an equidigital number, since it uses as much as digits as its factorization.

938636129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 419904, while the sum is 47.

The square root of 938636129 is about 30637.1690761402. The cubic root of 938636129 is about 979.1121102166.

The spelling of 938636129 in words is "nine hundred thirty-eight million, six hundred thirty-six thousand, one hundred twenty-nine".