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106562651449 is a prime number
BaseRepresentation
bin110001100111110100…
…0010000010100111001
3101012001112102120121111
41203033220100110321
53221220014321244
6120542035240321
710461502410052
oct1431750202471
9335045376544
10106562651449
1141213925291
121879b7490a1
13a083328357
14522c893729
152b8a463e34
hex18cfa10539

106562651449 has 2 divisors, whose sum is σ = 106562651450. Its totient is φ = 106562651448.

The previous prime is 106562651441. The next prime is 106562651513. The reversal of 106562651449 is 944156265601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105781057600 + 781593849 = 325240^2 + 27957^2 .

It is a cyclic number.

It is not a de Polignac number, because 106562651449 - 23 = 106562651441 is a prime.

It is a super-2 number, since 2×1065626514492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106562651441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53281325724 + 53281325725.

It is an arithmetic number, because the mean of its divisors is an integer number (53281325725).

Almost surely, 2106562651449 is an apocalyptic number.

It is an amenable number.

106562651449 is a deficient number, since it is larger than the sum of its proper divisors (1).

106562651449 is an equidigital number, since it uses as much as digits as its factorization.

106562651449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 106562651449 in words is "one hundred six billion, five hundred sixty-two million, six hundred fifty-one thousand, four hundred forty-nine".