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5342516152435 = 571132611425521
BaseRepresentation
bin100110110111110011011…
…0001110000100001110011
3200220201222010200110220201
41031233212301300201303
51200012433113334220
615210152410220031
71060661350006630
oct115574661604163
920821863613821
105342516152435
11177a8260a8420
127234b9a24617
132c9a4933b907
1414681730d187
1593e87733d0a
hex4dbe6c70873

5342516152435 has 32 divisors (see below), whose sum is σ = 7993223115264. Its totient is φ = 3330289728000.

The previous prime is 5342516152411. The next prime is 5342516152439.

5342516152435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5342516152435 - 25 = 5342516152403 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5342516152439) 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, 12342475 + ... + 12767995.

It is an arithmetic number, because the mean of its divisors is an integer number (249788222352).

Almost surely, 25342516152435 is an apocalyptic number.

5342516152435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5342516152435 is a deficient number, since it is larger than the sum of its proper divisors (2650706962829).

5342516152435 is a wasteful number, since it uses less digits than its factorization.

5342516152435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458155.

The product of its digits is 2160000, while the sum is 46.

The spelling of 5342516152435 in words is "five trillion, three hundred forty-two billion, five hundred sixteen million, one hundred fifty-two thousand, four hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 385 32611 163055 228277 358721 425521 1141385 1793605 2127605 2511047 2978647 4680731 12555235 14893235 23403655 32765117 163825585 13876665331 69383326655 97136657317 152643318641 485683286585 763216593205 1068503230487 5342516152435