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53984844848935 = 57111323468964469
BaseRepresentation
bin11000100011001010100111…
…00000000001111100100111
321002010220022122202112010201
430101211103200001330213
524033441430240131220
6310452143443531331
714241163531652320
oct1421452340017447
9232126278675121
1053984844848935
1116223931598420
12607a75b389b47
1324179977bbcb0
14d48c47c97447
1563940a3a9d0a
hex311953801f27

53984844848935 has 64 divisors (see below), whose sum is σ = 90761507665920. Its totient is φ = 29713588692480.

The previous prime is 53984844848933. The next prime is 53984844848947.

53984844848935 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53984844848935 - 21 = 53984844848933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53984844848933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234367120 + ... + 234597349.

It is an arithmetic number, because the mean of its divisors is an integer number (1418148557280).

Almost surely, 253984844848935 is an apocalyptic number.

53984844848935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53984844848935 is a deficient number, since it is larger than the sum of its proper divisors (36776662816985).

53984844848935 is a wasteful number, since it uses less digits than its factorization.

53984844848935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468964528.

The product of its digits is 19110297600, while the sum is 82.

The spelling of 53984844848935 in words is "fifty-three trillion, nine hundred eighty-four billion, eight hundred forty-four million, eight hundred forty-eight thousand, nine hundred thirty-five".

Divisors: 1 5 7 11 13 23 35 55 65 77 91 115 143 161 253 299 385 455 715 805 1001 1265 1495 1771 2093 3289 5005 8855 10465 16445 23023 115115 468964469 2344822345 3282751283 5158609159 6096538097 10786182787 16413756415 25793045795 30482690485 36110264113 42675766679 53930913935 67061919067 75503279509 118648010657 140220376231 180551320565 213378833395 335309595335 377516397545 469433433469 593240053285 701101881155 830536074599 981542633617 1542424138541 2347167167345 4152680372995 4907713168085 7712120692705 10796968969787 53984844848935