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5464212124645 = 5611011693104773
BaseRepresentation
bin100111110000011110001…
…1011000011001111100101
3201100101002100010101220201
41033200330123003033211
51204011201300442040
615342120245230501
71102530161500501
oct117407433031745
921311070111821
105464212124645
1118173a532456a
12743001702431
133083719c2121
1414c67d9ad301
159720b544a9a
hex4f83c6c33e5

5464212124645 has 32 divisors (see below), whose sum is σ = 6734572647264. Its totient is φ = 4254581376000.

The previous prime is 5464212124559. The next prime is 5464212124661.

5464212124645 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 314226392481 + 5149985732164 = 560559^2 + 2269358^2 .

It is not a de Polignac number, because 5464212124645 - 213 = 5464212116453 is a prime.

It is a super-2 number, since 2×54642121246452 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5464212124595 and 5464212124604.

It is a congruent number.

It is an unprimeable number.

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, 52100479 + ... + 52205251.

It is an arithmetic number, because the mean of its divisors is an integer number (210455395227).

Almost surely, 25464212124645 is an apocalyptic number.

It is an amenable number.

5464212124645 is a deficient number, since it is larger than the sum of its proper divisors (1270360522619).

5464212124645 is a wasteful number, since it uses less digits than its factorization.

5464212124645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106633.

The product of its digits is 1843200, while the sum is 46.

The spelling of 5464212124645 in words is "five trillion, four hundred sixty-four billion, two hundred twelve million, one hundred twenty-four thousand, six hundred forty-five".

Divisors: 1 5 61 101 305 505 1693 6161 8465 30805 103273 104773 170993 516365 523865 854965 6391153 10430573 10582073 31955765 52152865 52910365 177380689 645506453 886903445 3227532265 10820222029 17915449589 54101110145 89577247945 1092842424929 5464212124645