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10542566329 = 1026772
BaseRepresentation
bin10011101000110001…
…01100101110111001
31000012201200212012121
421310120230232321
5133042344110304
64502043441241
7522153222661
oct116430545671
930181625177
1010542566329
114520005139
122062826221
13cc0227239
147202391a1
1541a833554
hex27462cbb9

10542566329 has 3 divisors (see below), whose sum is σ = 10542669007. Its totient is φ = 10542463652.

The previous prime is 10542566239. The next prime is 10542566351. The reversal of 10542566329 is 92366524501.

The square root of 10542566329 is 102677.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3052010025 + 7490556304 = 55245^2 + 86548^2 .

It is a de Polignac number, because none of the positive numbers 2k-10542566329 is a prime.

It is a super-2 number, since 2×105425663292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10542566129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51339 + ... + 154015.

Almost surely, 210542566329 is an apocalyptic number.

10542566329 is the 102677-th square number.

10542566329 is the 51339-th centered octagonal number.

It is an amenable number.

10542566329 is a deficient number, since it is larger than the sum of its proper divisors (102678).

10542566329 is an frugal number, since it uses more digits than its factorization.

10542566329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205354 (or 102677 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 10542566329 in words is "ten billion, five hundred forty-two million, five hundred sixty-six thousand, three hundred twenty-nine".

Divisors: 1 102677 10542566329