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5437350537345 = 335102013394819
BaseRepresentation
bin100111100011111101101…
…0110001110100010000001
3201020210202022022101102000
41033013323112032202001
51203041143214143340
615321515004214213
71100556420664056
oct117077326164201
921223668271360
105437350537345
111806a70699441
1273996583a369
133059808b427c
1414b2522bb02d
1596688200d30
hex4f1fb58e881

5437350537345 has 32 divisors (see below), whose sum is σ = 9666520195200. Its totient is φ = 2899884514752.

The previous prime is 5437350537317. The next prime is 5437350537347.

5437350537345 is a `hidden beast` number, since 5 + 4 + 3 + 73 + 5 + 0 + 537 + 34 + 5 = 666.

5437350537345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5437350537345 - 27 = 5437350537217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5437350537291 and 5437350537300.

It is not an unprimeable number, because it can be changed into a prime (5437350537347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13574346 + ... + 13969164.

It is an arithmetic number, because the mean of its divisors is an integer number (302078756100).

Almost surely, 25437350537345 is an apocalyptic number.

It is an amenable number.

5437350537345 is a deficient number, since it is larger than the sum of its proper divisors (4229169657855).

5437350537345 is a wasteful number, since it uses less digits than its factorization.

5437350537345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496846 (or 496840 counting only the distinct ones).

The product of its (nonzero) digits is 39690000, while the sum is 54.

The spelling of 5437350537345 in words is "five trillion, four hundred thirty-seven billion, three hundred fifty million, five hundred thirty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 102013 306039 394819 510065 918117 1184457 1530195 1974095 2754351 3553371 4590585 5922285 10660113 13771755 17766855 53300565 40276670647 120830011941 201383353235 362490035823 604150059705 1087470107469 1812450179115 5437350537345