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10427583757 is a prime number
BaseRepresentation
bin10011011011000100…
…00100110100001101
3222220201100010202211
421231202010310031
5132323430140012
64442415150421
7516255666553
oct115542046415
928821303684
1010427583757
114471110018
122030215411
13ca2469006
1470cc67bd3
154106be6a7
hex26d884d0d

10427583757 has 2 divisors, whose sum is σ = 10427583758. Its totient is φ = 10427583756.

The previous prime is 10427583697. The next prime is 10427583763. The reversal of 10427583757 is 75738572401.

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., 10003800361 + 423783396 = 100019^2 + 20586^2 .

It is a cyclic number.

It is not a de Polignac number, because 10427583757 - 231 = 8280100109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10427583757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10427584757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5213791878 + 5213791879.

It is an arithmetic number, because the mean of its divisors is an integer number (5213791879).

Almost surely, 210427583757 is an apocalyptic number.

It is an amenable number.

10427583757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10427583757 is an equidigital number, since it uses as much as digits as its factorization.

10427583757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 10427583757 in words is "ten billion, four hundred twenty-seven million, five hundred eighty-three thousand, seven hundred fifty-seven".