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13535530033 = 173613220373
BaseRepresentation
bin11001001101100011…
…11100110000110001
31021221022111011120011
430212301330300301
5210210043430113
610115041214521
7656265051454
oct144661746061
937838434504
1013535530033
1158164aa063
122759031441
131379316b8c
1492592d49b
1554348763d
hex326c7cc31

13535530033 has 8 divisors (see below), whose sum is σ = 14335769448. Its totient is φ = 12735738624.

The previous prime is 13535530007. The next prime is 13535530051. The reversal of 13535530033 is 33003553531.

13535530033 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 4 ways, for example, as 1429369249 + 12106160784 = 37807^2 + 110028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13535530033 - 213 = 13535521841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13535529977 and 13535530004.

It is not an unprimeable number, because it can be changed into a prime (13535539033) 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 in 7 ways as a sum of consecutive naturals, for example, 48766 + ... + 171607.

It is an arithmetic number, because the mean of its divisors is an integer number (1791971181).

Almost surely, 213535530033 is an apocalyptic number.

It is an amenable number.

13535530033 is a deficient number, since it is larger than the sum of its proper divisors (800239415).

13535530033 is a wasteful number, since it uses less digits than its factorization.

13535530033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224003.

The product of its (nonzero) digits is 30375, while the sum is 31.

The spelling of 13535530033 in words is "thirteen billion, five hundred thirty-five million, five hundred thirty thousand, thirty-three".

Divisors: 1 17 3613 61421 220373 3746341 796207649 13535530033