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5113330105077 = 3215720021180749
BaseRepresentation
bin100101001101000101000…
…1110010111101011110101
3200002211101202200222011100
41022122022032113223311
51132234100001330302
614513010442000313
71035266041521555
oct112321216275365
920084352628140
105113330105077
1116a16075a3927
126a6bb7aa6099
132b125348423c
141396b4d41165
158d021d66d1c
hex4a68a397af5

5113330105077 has 24 divisors (see below), whose sum is σ = 7433377731000. Its totient is φ = 3386986162560.

The previous prime is 5113330105073. The next prime is 5113330105087. The reversal of 5113330105077 is 7705010333115.

5113330105077 is a `hidden beast` number, since 5 + 1 + 133 + 3 + 0 + 10 + 507 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110015602596 + 5003314502481 = 331686^2 + 2236809^2 .

It is not a de Polignac number, because 5113330105077 - 22 = 5113330105073 is a prime.

It is a super-2 number, since 2×51133301050772 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113330105073) 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 23 ways as a sum of consecutive naturals, for example, 28199299 + ... + 28380047.

It is an arithmetic number, because the mean of its divisors is an integer number (309724072125).

Almost surely, 25113330105077 is an apocalyptic number.

It is an amenable number.

5113330105077 is a deficient number, since it is larger than the sum of its proper divisors (2320047625923).

5113330105077 is a wasteful number, since it uses less digits than its factorization.

5113330105077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200933 (or 200930 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The spelling of 5113330105077 in words is "five trillion, one hundred thirteen billion, three hundred thirty million, one hundred five thousand, seventy-seven".

Divisors: 1 3 9 157 471 1413 20021 60063 180189 180749 542247 1626741 3143297 9429891 28289673 28377593 85132779 255398337 3618775729 10856327187 32568981561 568147789453 1704443368359 5113330105077