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3901900947829 is a prime number
BaseRepresentation
bin111000110001111011011…
…010111000000101110101
3111211000111012000111212121
4320301323122320011311
51002412043120312304
612144301502515541
7551621512552423
oct70617332700565
914730435014777
103901900947829
1112748723a9835
1253026a895bb1
13223c420920c1
14d6bd2952113
156b76dab9554
hex38c7b6b8175

3901900947829 has 2 divisors, whose sum is σ = 3901900947830. Its totient is φ = 3901900947828.

The previous prime is 3901900947827. The next prime is 3901900947859. The reversal of 3901900947829 is 9287490091093.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2981648295025 + 920252652804 = 1726745^2 + 959298^2 .

It is a cyclic number.

It is not a de Polignac number, because 3901900947829 - 21 = 3901900947827 is a prime.

Together with 3901900947827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3901900947823) 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, 1950950473914 + 1950950473915.

It is an arithmetic number, because the mean of its divisors is an integer number (1950950473915).

Almost surely, 23901900947829 is an apocalyptic number.

It is an amenable number.

3901900947829 is a deficient number, since it is larger than the sum of its proper divisors (1).

3901900947829 is an equidigital number, since it uses as much as digits as its factorization.

3901900947829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8817984, while the sum is 61.

The spelling of 3901900947829 in words is "three trillion, nine hundred one billion, nine hundred million, nine hundred forty-seven thousand, eight hundred twenty-nine".