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38401375647629 is a prime number
BaseRepresentation
bin10001011101101000001000…
…10110101011011110001101
312000222010122220011200010102
420232310010112223132031
520013132004131211004
6213401203132220445
711042256613205111
oct1056640426533615
9160863586150112
1038401375647629
1111265a28482055
12438253b00a725
131857307674a07
1496a8ca7a1741
15468d942bc11e
hex22ed045ab78d

38401375647629 has 2 divisors, whose sum is σ = 38401375647630. Its totient is φ = 38401375647628.

The previous prime is 38401375647623. The next prime is 38401375647667. The reversal of 38401375647629 is 92674657310483.

38401375647629 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 can be written as a sum of positive squares in only one way, i.e., 32480538688900 + 5920836958729 = 5699170^2 + 2433277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38401375647629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38401375647623) 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, 19200687823814 + 19200687823815.

It is an arithmetic number, because the mean of its divisors is an integer number (19200687823815).

It is a 1-persistent number, because it is pandigital, but 2⋅38401375647629 = 76802751295258 is not.

Almost surely, 238401375647629 is an apocalyptic number.

It is an amenable number.

38401375647629 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401375647629 is an equidigital number, since it uses as much as digits as its factorization.

38401375647629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 182891520, while the sum is 65.

The spelling of 38401375647629 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, six hundred forty-seven thousand, six hundred twenty-nine".