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11072416253 = 29419312377
BaseRepresentation
bin10100100111111011…
…11010100111111101
31001120122201000122212
422103331322213331
5140134014310003
65030412150205
7541245661643
oct122375724775
931518630585
1011072416253
1147720aa238
122190168365
131075c30bc2
14770761193
1544c0e5dd8
hex293f7a9fd

11072416253 has 8 divisors (see below), whose sum is σ = 11733596280. Its totient is φ = 10429861120.

The previous prime is 11072416211. The next prime is 11072416259. The reversal of 11072416253 is 35261427011.

It can be written as a sum of positive squares in 4 ways, for example, as 10004569 + 11062411684 = 3163^2 + 105178^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11072416253 - 28 = 11072415997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11072416259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4655000 + ... + 4657377.

It is an arithmetic number, because the mean of its divisors is an integer number (1466699535).

Almost surely, 211072416253 is an apocalyptic number.

It is an amenable number.

11072416253 is a deficient number, since it is larger than the sum of its proper divisors (661180027).

11072416253 is an equidigital number, since it uses as much as digits as its factorization.

11072416253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312447.

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 11072416253 in words is "eleven billion, seventy-two million, four hundred sixteen thousand, two hundred fifty-three".

Divisors: 1 29 41 1189 9312377 270058933 381807457 11072416253