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38245553441 is a prime number
BaseRepresentation
bin100011100111100111…
…001101010100100001
310122201101202102021022
4203213213031110201
51111311330202231
625323022535225
72522521561154
oct434747152441
9118641672238
1038245553441
1115246688407
1274b4437515
1337b67519c4
141bcb591c9b
15edc97ac7b
hex8e79cd521

38245553441 has 2 divisors, whose sum is σ = 38245553442. Its totient is φ = 38245553440.

The previous prime is 38245553389. The next prime is 38245553447. The reversal of 38245553441 is 14435554283.

38245553441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37812747025 + 432806416 = 194455^2 + 20804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38245553441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38245553392 and 38245553401.

It is not a weakly prime, because it can be changed into another prime (38245553447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19122776720 + 19122776721.

It is an arithmetic number, because the mean of its divisors is an integer number (19122776721).

Almost surely, 238245553441 is an apocalyptic number.

It is an amenable number.

38245553441 is a deficient number, since it is larger than the sum of its proper divisors (1).

38245553441 is an equidigital number, since it uses as much as digits as its factorization.

38245553441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152000, while the sum is 44.

The spelling of 38245553441 in words is "thirty-eight billion, two hundred forty-five million, five hundred fifty-three thousand, four hundred forty-one".