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10406742527 is a prime number
BaseRepresentation
bin10011011000100101…
…00100100111111111
3222212021010021222102
421230102210213333
5132303111230102
64440352335315
7515613565136
oct115422444777
928767107872
1010406742527
114460375765
12202524453b
13c9b04ca1c
1470a1a091d
1540d954402
hex26c4a49ff

10406742527 has 2 divisors, whose sum is σ = 10406742528. Its totient is φ = 10406742526.

The previous prime is 10406742517. The next prime is 10406742583. The reversal of 10406742527 is 72524760401.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10406742527 - 220 = 10405693951 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406742517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203371263 + 5203371264.

It is an arithmetic number, because the mean of its divisors is an integer number (5203371264).

Almost surely, 210406742527 is an apocalyptic number.

10406742527 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406742527 is an equidigital number, since it uses as much as digits as its factorization.

10406742527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 10406742527 in words is "ten billion, four hundred six million, seven hundred forty-two thousand, five hundred twenty-seven".