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38401613173631 is a prime number
BaseRepresentation
bin10001011101101000100101…
…00000110001001101111111
312000222011021110010020112202
420232310102200301031333
520013133000433024011
6213401242455222115
711042265526144541
oct1056642240611577
9160864243106482
1038401613173631
111126603a565934
1243825a667793b
13185734493a746
1496a910151691
15468daa08a23b
hex22ed1283137f

38401613173631 has 2 divisors, whose sum is σ = 38401613173632. Its totient is φ = 38401613173630.

The previous prime is 38401613173577. The next prime is 38401613173733. The reversal of 38401613173631 is 13637131610483.

38401613173631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (13637131610483) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38401613173631 is a prime.

It is a super-2 number, since 2×384016131736312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38401613173331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200806586815 + 19200806586816.

It is an arithmetic number, because the mean of its divisors is an integer number (19200806586816).

Almost surely, 238401613173631 is an apocalyptic number.

38401613173631 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401613173631 is an equidigital number, since it uses as much as digits as its factorization.

38401613173631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 38401613173631 in words is "thirty-eight trillion, four hundred one billion, six hundred thirteen million, one hundred seventy-three thousand, six hundred thirty-one".