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11448107505 = 325461551849
BaseRepresentation
bin10101010100101110…
…00100000111110001
31002112211122010011200
422222113010013301
5141421203420010
65131552401413
7553460210502
oct125227040761
932484563150
1011448107505
11494518167a
122275b46269
131105a10b13
147a85d8ba9
154700a6cc0
hex2aa5c41f1

11448107505 has 24 divisors (see below), whose sum is σ = 19886466600. Its totient is φ = 6092401920.

The previous prime is 11448107501. The next prime is 11448107527. The reversal of 11448107505 is 50570184411.

11448107505 is a `hidden beast` number, since 1 + 1 + 4 + 48 + 107 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327139569 + 11120967936 = 18087^2 + 105456^2 .

It is not a de Polignac number, because 11448107505 - 22 = 11448107501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11448107505.

It is not an unprimeable number, because it can be changed into a prime (11448107501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255180 + ... + 296669.

It is an arithmetic number, because the mean of its divisors is an integer number (828602775).

Almost surely, 211448107505 is an apocalyptic number.

11448107505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11448107505 is a deficient number, since it is larger than the sum of its proper divisors (8438359095).

11448107505 is a wasteful number, since it uses less digits than its factorization.

11448107505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552321 (or 552318 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11448107505 in words is "eleven billion, four hundred forty-eight million, one hundred seven thousand, five hundred five".

Divisors: 1 3 5 9 15 45 461 1383 2305 4149 6915 20745 551849 1655547 2759245 4966641 8277735 24833205 254402389 763207167 1272011945 2289621501 3816035835 11448107505