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10406268569 is a prime number
BaseRepresentation
bin10011011000100001…
…10000111010011001
3222212020020012211102
421230100300322121
5132303001043234
64440334241145
7515606552264
oct115420607231
928766205742
1010406268569
114460081664
1220250561b5
13c9ac15088
1470a0b9cdb
1540d8adc7e
hex26c430e99

10406268569 has 2 divisors, whose sum is σ = 10406268570. Its totient is φ = 10406268568.

The previous prime is 10406268539. The next prime is 10406268577. The reversal of 10406268569 is 96586260401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8678785600 + 1727482969 = 93160^2 + 41563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10406268569 is a prime.

It is a super-3 number, since 3×104062685693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10406268539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203134284 + 5203134285.

It is an arithmetic number, because the mean of its divisors is an integer number (5203134285).

Almost surely, 210406268569 is an apocalyptic number.

It is an amenable number.

10406268569 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406268569 is an equidigital number, since it uses as much as digits as its factorization.

10406268569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 10406268569 in words is "ten billion, four hundred six million, two hundred sixty-eight thousand, five hundred sixty-nine".