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11825280340 = 2255771024721
BaseRepresentation
bin10110000001101011…
…10111010101010100
31010112010100111000221
423000311313111110
5143204232432330
65233224444124
7566020136656
oct130065672524
933463314027
1011825280340
115019076165
122360319644
131165bbc203
1480273a6d6
1549325bb7a
hex2c0d77554

11825280340 has 24 divisors (see below), whose sum is σ = 24876151272. Its totient is φ = 4721909760.

The previous prime is 11825280319. The next prime is 11825280361. The reversal of 11825280340 is 4308252811.

It is a happy number.

11825280340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11825280319) and next prime (11825280361).

It can be written as a sum of positive squares in 4 ways, for example, as 1091905936 + 10733374404 = 33044^2 + 103602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11825280296 and 11825280305.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 500821 + ... + 523900.

It is an arithmetic number, because the mean of its divisors is an integer number (1036506303).

Almost surely, 211825280340 is an apocalyptic number.

11825280340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11825280340 is an abundant number, since it is smaller than the sum of its proper divisors (13050870932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11825280340 is a wasteful number, since it uses less digits than its factorization.

11825280340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025307 (or 1025305 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 11825280340 in words is "eleven billion, eight hundred twenty-five million, two hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 1024721 2049442 4098884 5123605 10247210 20494420 591264017 1182528034 2365056068 2956320085 5912640170 11825280340