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11779104523633 = 113761279748973
BaseRepresentation
bin1010101101101000100101…
…0101110100010101110001
31112201001221001021020101221
42223122021111310111301
53020442101224224013
641015125041225041
72324004122313226
oct253321125642561
945631831236357
1011779104523633
113831543471a77
1213a2a52332181
136759c3324415
142ca17c71594d
151566052e908d
hexab689574571

11779104523633 has 16 divisors (see below), whose sum is σ = 11903457062736. Its totient is φ = 11655116605440.

The previous prime is 11779104523619. The next prime is 11779104523643. The reversal of 11779104523633 is 33632540197711.

11779104523633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6637131045169 + 5141973478464 = 2576263^2 + 2267592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11779104523633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11779104523643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240497935 + ... + 240546907.

It is an arithmetic number, because the mean of its divisors is an integer number (743966066421).

Almost surely, 211779104523633 is an apocalyptic number.

It is an amenable number.

11779104523633 is a deficient number, since it is larger than the sum of its proper divisors (124352539103).

11779104523633 is a wasteful number, since it uses less digits than its factorization.

11779104523633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52644.

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 11779104523633 in words is "eleven trillion, seven hundred seventy-nine billion, one hundred four million, five hundred twenty-three thousand, six hundred thirty-three".

Divisors: 1 113 761 2797 48973 85993 316061 2128517 5533949 37268453 136977481 240522421 4211335189 15478455353 104239863041 11779104523633