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400267706093 is a prime number
BaseRepresentation
bin1011101001100011101…
…00000111111011101101
31102021011100022020201022
411310301310013323231
523024222013043333
6503514102023525
740630002236153
oct5646164077355
91367140266638
10400267706093
11144830759a02
12656a8a17ba5
132b98bc40008
141553196b3d3
15a62a178c98
hex5d31d07eed

400267706093 has 2 divisors, whose sum is σ = 400267706094. Its totient is φ = 400267706092.

The previous prime is 400267705967. The next prime is 400267706117. The reversal of 400267706093 is 390607762004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393677188969 + 6590517124 = 627437^2 + 81182^2 .

It is a cyclic number.

It is not a de Polignac number, because 400267706093 - 222 = 400263511789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400267006093) 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, 200133853046 + 200133853047.

It is an arithmetic number, because the mean of its divisors is an integer number (200133853047).

Almost surely, 2400267706093 is an apocalyptic number.

It is an amenable number.

400267706093 is a deficient number, since it is larger than the sum of its proper divisors (1).

400267706093 is an equidigital number, since it uses as much as digits as its factorization.

400267706093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 400267706093 in words is "four hundred billion, two hundred sixty-seven million, seven hundred six thousand, ninety-three".