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53418411481435 = 57111329368034803
BaseRepresentation
bin11000010010101011100010…
…11100001101100101011011
321000010202020221110002000121
430021111301130031211123
524000201401314401220
6305340025055014111
714152232014532530
oct1411256134154533
9230122227402017
1053418411481435
1116025691736720
125ba8a19b0a337
1323a6447123010
14d29671a02d87
15629807335eaa
hex30957170d95b

53418411481435 has 64 divisors (see below), whose sum is σ = 89034979783680. Its totient is φ = 29678326433280.

The previous prime is 53418411481417. The next prime is 53418411481447.

53418411481435 is nontrivially palindromic in base 10.

53418411481435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53418411481435 - 29 = 53418411480923 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 183872257 + ... + 184162546.

It is an arithmetic number, because the mean of its divisors is an integer number (1391171559120).

Almost surely, 253418411481435 is an apocalyptic number.

53418411481435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53418411481435 is a deficient number, since it is larger than the sum of its proper divisors (35616568302245).

53418411481435 is a wasteful number, since it uses less digits than its factorization.

53418411481435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368034868.

The product of its digits is 3686400, while the sum is 52.

The spelling of 53418411481435 in words is "fifty-three trillion, four hundred eighteen billion, four hundred eleven million, four hundred eighty-one thousand, four hundred thirty-five".

Divisors: 1 5 7 11 13 29 35 55 65 77 91 143 145 203 319 377 385 455 715 1001 1015 1595 1885 2233 2639 4147 5005 11165 13195 20735 29029 145145 368034803 1840174015 2576243621 4048382833 4784452439 10673009287 12881218105 20241914165 23922262195 28338679831 33491167073 52628976829 53365046435 74711065009 117403102157 138749120731 141693399155 167455835365 263144884145 368402837803 373555325045 587015510785 693745603655 821821715099 971243845117 1526240328041 1842014189015 4109108575495 4856219225585 7631201640205 10683682296287 53418411481435