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5144021010117 = 331198317619467
BaseRepresentation
bin100101011011010111110…
…0010111000011011000101
3200012202121200001111002000
41022312233202320123011
51133234423334310432
614535044114335513
71040433431102043
oct112665742703305
920182550044060
105144021010117
111703626835060
126b0b4228a599
132b4104a22a92
1413ad87037393
158dc1b46857c
hex4adaf8b86c5

5144021010117 has 32 divisors (see below), whose sum is σ = 8322027125760. Its totient is φ = 3114416810160.

The previous prime is 5144021010067. The next prime is 5144021010221. The reversal of 5144021010117 is 7110101204415.

5144021010117 is a `hidden beast` number, since 5 + 1 + 440 + 2 + 101 + 0 + 117 = 666.

It is not a de Polignac number, because 5144021010117 - 212 = 5144021006021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144021010517) 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, 8517783 + ... + 9101684.

It is an arithmetic number, because the mean of its divisors is an integer number (260063347680).

Almost surely, 25144021010117 is an apocalyptic number.

It is an amenable number.

5144021010117 is a deficient number, since it is larger than the sum of its proper divisors (3178006115643).

5144021010117 is a wasteful number, since it uses less digits than its factorization.

5144021010117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17620470 (or 17620464 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 5144021010117 in words is "five trillion, one hundred forty-four billion, twenty-one million, ten thousand, one hundred seventeen".

Divisors: 1 3 9 11 27 33 99 297 983 2949 8847 10813 26541 32439 97317 291951 17619467 52858401 158575203 193814137 475725609 581442411 1744327233 5232981699 17319936061 51959808183 155879424549 190519296671 467638273647 571557890013 1714673670039 5144021010117