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53340433404335 = 57112107165771039
BaseRepresentation
bin11000010000011010010011…
…00101011101000110101111
320222212021222111221022210222
430020031021211131012233
523442412201422414320
6305240131250121555
714143501444031060
oct1410151145350657
9228767874838728
1053340433404335
1115aa5607090200
125b958972802bb
13239bc9ab6ccac
14d259955cc567
1562779160a825
hex30834995d1af

53340433404335 has 96 divisors (see below), whose sum is σ = 81208990679040. Its totient is φ = 32920077611520.

The previous prime is 53340433404331. The next prime is 53340433404347.

53340433404335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53340433404335 - 22 = 53340433404331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53340433404331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750825746 + ... + 750896784.

It is an arithmetic number, because the mean of its divisors is an integer number (845926986240).

Almost surely, 253340433404335 is an apocalyptic number.

53340433404335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53340433404335 is a deficient number, since it is larger than the sum of its proper divisors (27868557274705).

53340433404335 is a wasteful number, since it uses less digits than its factorization.

53340433404335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72837 (or 72826 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 44.

It can be divided in two parts, 5334043 and 3404335, that added together give a palindrome (8738378).

The spelling of 53340433404335 in words is "fifty-three trillion, three hundred forty billion, four hundred thirty-three million, four hundred four thousand, three hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 107 121 385 535 605 749 847 1177 1657 3745 4235 5885 8239 8285 11599 12947 18227 41195 57995 64735 71039 90629 91135 127589 177299 200497 355195 453145 497273 637945 781429 886495 1002485 1241093 1403479 1950289 2486365 3907145 5470003 6205465 7017395 7601173 8595719 9751445 13652023 21453179 27350015 38005865 42978595 53208211 60170033 68260115 83612903 107265895 117711623 150172253 266041055 300850165 418064515 585290321 588558115 750861265 823981361 919741933 1294827853 2926451605 4119906805 4598709665 6438193531 6474139265 9063794971 12595143661 14243106383 32190967655 45318974855 62975718305 71215531915 88166005627 99701744681 138546580271 440830028135 498508723405 692732901355 969826061897 1524012382981 4849130309485 7620061914905 10668086680867 53340433404335