Search a number
-
+
5178648401 is a prime number
BaseRepresentation
bin1001101001010101…
…11110011101010001
3111100220112121002122
410310222332131101
541101213222101
62213512224025
7242221533203
oct46452763521
914326477078
105178648401
112218237213
12100639b015
13646b7b4c4
14371ac6773
1520499451b
hex134abe751

5178648401 has 2 divisors, whose sum is σ = 5178648402. Its totient is φ = 5178648400.

The previous prime is 5178648373. The next prime is 5178648403. The reversal of 5178648401 is 1048468715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3479230225 + 1699418176 = 58985^2 + 41224^2 .

It is a cyclic number.

It is not a de Polignac number, because 5178648401 - 222 = 5174454097 is a prime.

It is a super-2 number, since 2×51786484012 = 53636798522359713602, which contains 22 as substring.

Together with 5178648403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (5178648403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2589324200 + 2589324201.

It is an arithmetic number, because the mean of its divisors is an integer number (2589324201).

Almost surely, 25178648401 is an apocalyptic number.

It is an amenable number.

5178648401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5178648401 is an equidigital number, since it uses as much as digits as its factorization.

5178648401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 5178648401 is about 71962.8265217536. The cubic root of 5178648401 is about 1730.1037282855.

The spelling of 5178648401 in words is "five billion, one hundred seventy-eight million, six hundred forty-eight thousand, four hundred one".