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38971220833 is a prime number
BaseRepresentation
bin100100010010110111…
…011010001101100001
310201120222020010210101
4210102313122031201
51114303113031313
625523024302401
72546512624426
oct442267321541
9121528203711
1038971220833
1115589269026
127677471a01
1338a0ba9cac
141c59acbd4d
15103151d5dd
hex912dda361

38971220833 has 2 divisors, whose sum is σ = 38971220834. Its totient is φ = 38971220832.

The previous prime is 38971220831. The next prime is 38971220837. The reversal of 38971220833 is 33802217983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34422123024 + 4549097809 = 185532^2 + 67447^2 .

It is a cyclic number.

It is not a de Polignac number, because 38971220833 - 21 = 38971220831 is a prime.

It is a super-3 number, since 3×389712208333 (a number of 33 digits) contains 333 as substring.

Together with 38971220831, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (38971220831) 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, 19485610416 + 19485610417.

It is an arithmetic number, because the mean of its divisors is an integer number (19485610417).

Almost surely, 238971220833 is an apocalyptic number.

It is an amenable number.

38971220833 is a deficient number, since it is larger than the sum of its proper divisors (1).

38971220833 is an equidigital number, since it uses as much as digits as its factorization.

38971220833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 38971220833 in words is "thirty-eight billion, nine hundred seventy-one million, two hundred twenty thousand, eight hundred thirty-three".