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3455559041759 = 1117531013452069
BaseRepresentation
bin110010010010001111010…
…111101000001011011111
3110020100101211222101202022
4302102033113220023133
5423103441103314014
611203243434450355
7504440655135506
oct62221727501337
913210354871668
103455559041759
111112548aa1510
124798638939bb
131c0b1c824686
14bd36dc1183d
155ed48a65a8e
hex3248f5e82df

3455559041759 has 32 divisors (see below), whose sum is σ = 4107024336960. Its totient is φ = 2872120576000.

The previous prime is 3455559041719. The next prime is 3455559041867. The reversal of 3455559041759 is 9571409555543.

3455559041759 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3455559041759 - 212 = 3455559037663 is a prime.

It is a super-3 number, since 3×34555590417593 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455559041719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725024 + ... + 2727045.

It is an arithmetic number, because the mean of its divisors is an integer number (128344510530).

Almost surely, 23455559041759 is an apocalyptic number.

3455559041759 is a deficient number, since it is larger than the sum of its proper divisors (651465295201).

3455559041759 is a wasteful number, since it uses less digits than its factorization.

3455559041759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452251.

The product of its (nonzero) digits is 85050000, while the sum is 62.

The spelling of 3455559041759 in words is "three trillion, four hundred fifty-five billion, five hundred fifty-nine million, forty-one thousand, seven hundred fifty-nine".

Divisors: 1 11 17 53 101 187 583 901 1111 1717 5353 9911 18887 58883 91001 1001011 3452069 37972759 58685173 182959657 348658969 645536903 2012556227 3110314169 3835248659 5927202473 18478925357 34213455859 65199227203 203268178927 314141731069 3455559041759