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11461248977 is a prime number
BaseRepresentation
bin10101010110010010…
…01100011111010001
31002120202100202212212
422223021030133101
5141433034431402
65133142201505
7554010003023
oct125311143721
932522322785
1011461248977
114951637aa2
12227a423295
131108662539
147aa25a013
15471300952
hex2ab24c7d1

11461248977 has 2 divisors, whose sum is σ = 11461248978. Its totient is φ = 11461248976.

The previous prime is 11461248943. The next prime is 11461249021. The reversal of 11461248977 is 77984216411.

11461248977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10996458496 + 464790481 = 104864^2 + 21559^2 .

It is a cyclic number.

It is not a de Polignac number, because 11461248977 - 212 = 11461244881 is a prime.

It is a super-2 number, since 2×114612489772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11461248907) 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, 5730624488 + 5730624489.

It is an arithmetic number, because the mean of its divisors is an integer number (5730624489).

Almost surely, 211461248977 is an apocalyptic number.

It is an amenable number.

11461248977 is a deficient number, since it is larger than the sum of its proper divisors (1).

11461248977 is an equidigital number, since it uses as much as digits as its factorization.

11461248977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 677376, while the sum is 50.

The spelling of 11461248977 in words is "eleven billion, four hundred sixty-one million, two hundred forty-eight thousand, nine hundred seventy-seven".