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53134333343135 = 51119471278518387
BaseRepresentation
bin11000001010011010011010…
…00100000111010110011111
320222010121000001022102110222
430011031031010013112133
523431023103313440020
6305001324210351555
714122554212310062
oct1405151504072637
9228117001272428
1053134333343135
1115a26164a65810
125b6195888b5bb
132385713b1c765
14d19a032d28d9
1562222c885b25
hex30534d10759f

53134333343135 has 64 divisors (see below), whose sum is σ = 75365245255680. Its totient is φ = 35548246984320.

The previous prime is 53134333343101. The next prime is 53134333343159.

53134333343135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53134333343135 - 28 = 53134333342879 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978412 + ... + 10496798.

It is an arithmetic number, because the mean of its divisors is an integer number (1177581957120).

Almost surely, 253134333343135 is an apocalyptic number.

53134333343135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53134333343135 is a deficient number, since it is larger than the sum of its proper divisors (22230911912545).

53134333343135 is a wasteful number, since it uses less digits than its factorization.

53134333343135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518596.

The product of its digits is 2624400, while the sum is 44.

It can be divided in two parts, 5313433 and 3343135, that added together give a palindrome (8656568).

The spelling of 53134333343135 in words is "fifty-three trillion, one hundred thirty-four billion, three hundred thirty-three million, three hundred forty-three thousand, one hundred thirty-five".

Divisors: 1 5 11 19 47 55 95 127 209 235 517 635 893 1045 1397 2413 2585 4465 5969 6985 9823 12065 26543 29845 49115 65659 113411 132715 328295 567055 1247521 6237605 8518387 42591935 93702257 161849353 400364189 468511285 809246765 1081835149 1780342883 2001820945 4404006079 5409175745 7606919591 8901714415 11900186639 20554867831 22020030395 38034597955 50846252003 59500933195 83676115501 102774339155 226103546141 254231260015 418380577505 559308772033 966078788057 1130517730705 2796543860165 4830393940285 10626866668627 53134333343135