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11525132120445 = 3252017126977713
BaseRepresentation
bin1010011110110110011101…
…1001111111000101111101
31111210210101021101101112200
42213231213121333011331
53002311432310323240
640302323403222113
72266443342436116
oct247554731770575
944723337341480
1011525132120445
113743865693489
121361793517939
13657a7a286cc8
142bbb684d520d
1514ebdd8ab930
hexa7b6767f17d

11525132120445 has 24 divisors (see below), whose sum is σ = 19986800094456. Its totient is φ = 6143689617408.

The previous prime is 11525132120399. The next prime is 11525132120477. The reversal of 11525132120445 is 54402123152511.

11525132120445 is a `hidden beast` number, since 1 + 1 + 525 + 1 + 3 + 2 + 120 + 4 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 403100549604 + 11122031570841 = 634902^2 + 3334971^2 .

It is not a de Polignac number, because 11525132120445 - 27 = 11525132120317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63398092 + ... + 63579621.

It is an arithmetic number, because the mean of its divisors is an integer number (832783337269).

Almost surely, 211525132120445 is an apocalyptic number.

11525132120445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11525132120445 is a deficient number, since it is larger than the sum of its proper divisors (8461667974011).

11525132120445 is a wasteful number, since it uses less digits than its factorization.

11525132120445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126979741 (or 126979738 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11525132120445 its reverse (54402123152511), we get a palindrome (65927255272956).

The spelling of 11525132120445 in words is "eleven trillion, five hundred twenty-five billion, one hundred thirty-two million, one hundred twenty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 2017 6051 10085 18153 30255 90765 126977713 380933139 634888565 1142799417 1904665695 5713997085 256114047121 768342141363 1280570235605 2305026424089 3841710706815 11525132120445