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38846623201 is a prime number
BaseRepresentation
bin100100001011011100…
…000110110111100001
310201021021202220222021
4210023130012313201
51114024213420301
625502413541441
72543440564141
oct441334066741
9121237686867
1038846623201
11155249a6a81
1276417a4881
133881133499
141c47336921
15102560a8a1
hex90b706de1

38846623201 has 2 divisors, whose sum is σ = 38846623202. Its totient is φ = 38846623200.

The previous prime is 38846623181. The next prime is 38846623217. The reversal of 38846623201 is 10232664883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34716632976 + 4129990225 = 186324^2 + 64265^2 .

It is a cyclic number.

It is not a de Polignac number, because 38846623201 - 25 = 38846623169 is a prime.

It is not a weakly prime, because it can be changed into another prime (38846623241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19423311600 + 19423311601.

It is an arithmetic number, because the mean of its divisors is an integer number (19423311601).

Almost surely, 238846623201 is an apocalyptic number.

It is an amenable number.

38846623201 is a deficient number, since it is larger than the sum of its proper divisors (1).

38846623201 is an equidigital number, since it uses as much as digits as its factorization.

38846623201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 38846623201 in words is "thirty-eight billion, eight hundred forty-six million, six hundred twenty-three thousand, two hundred one".