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993114147421065 = 351312419720886953
BaseRepresentation
bin1110000111001110110110011…
…1111110100111101110001001
311211020022210012110201002222110
43201303231213332213232021
52020132140233214433230
613440102201353212533
7416120062243055325
oct34163554776475611
94736283173632873
10993114147421065
1126848938787221a
1293474212701149
133381b354255757
1413734da45d0985
1579c32a0d8a4b0
hex3873b67fa7b89

993114147421065 has 32 divisors (see below), whose sum is σ = 1601178520841856. Its totient is φ = 525595918215680.

The previous prime is 993114147421063. The next prime is 993114147421177. The reversal of 993114147421065 is 560124741411399.

It is not a de Polignac number, because 993114147421065 - 21 = 993114147421063 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 993114147420996 and 993114147421014.

It is not an unprimeable number, because it can be changed into a prime (993114147421061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37103629 + ... + 57990581.

It is an arithmetic number, because the mean of its divisors is an integer number (50036828776308).

Almost surely, 2993114147421065 is an apocalyptic number.

It is an amenable number.

993114147421065 is a deficient number, since it is larger than the sum of its proper divisors (608064373420791).

993114147421065 is a wasteful number, since it uses less digits than its factorization.

993114147421065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20911289.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 993114147421065 in words is "nine hundred ninety-three trillion, one hundred fourteen billion, one hundred forty-seven million, four hundred twenty-one thousand, sixty-five".

Divisors: 1 3 5 15 131 393 655 1965 24197 72591 120985 362955 3169807 9509421 15849035 20886953 47547105 62660859 104434765 313304295 2736190843 8208572529 13680954215 41042862645 505401601741 1516204805223 2527008008705 7581024026115 66207609828071 198622829484213 331038049140355 993114147421065