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52931763840 = 2735211130657
BaseRepresentation
bin110001010010111110…
…101001111010000000
312001121220110012112210
4301102332221322000
51331401012420330
640152211222120
73552461366124
oct612276517200
9161556405483
1052931763840
11204a266767a
12a3128a7940
134cb7282527
1427c1c53584
15159be5a8b0
hexc52fa9e80

52931763840 has 128 divisors (see below), whose sum is σ = 169520915520. Its totient is φ = 14048133120.

The previous prime is 52931763823. The next prime is 52931763847. The reversal of 52931763840 is 4836713925.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52931763840.

It is not an unprimeable number, because it can be changed into a prime (52931763847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339792 + ... + 470448.

It is a 1-persistent number, because it is pandigital, but 2⋅52931763840 = 105863527680 is not.

Almost surely, 252931763840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52931763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84760457760).

52931763840 is an abundant number, since it is smaller than the sum of its proper divisors (116589151680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52931763840 is a wasteful number, since it uses less digits than its factorization.

52931763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130890 (or 130878 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 52931763840 in words is "fifty-two billion, nine hundred thirty-one million, seven hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 320 384 422 480 633 640 844 960 1055 1266 1688 1920 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13504 16880 20256 25320 27008 33760 40512 50640 67520 81024 101280 130657 135040 202560 261314 391971 405120 522628 653285 783942 1045256 1306570 1567884 1959855 2090512 2613140 3135768 3919710 4181024 5226280 6271536 7839420 8362048 10452560 12543072 15678840 16724096 20905120 25086144 27568627 31357680 41810240 50172288 55137254 62715360 82705881 83620480 110274508 125430720 137843135 165411762 220549016 250861440 275686270 330823524 413529405 441098032 551372540 661647048 827058810 882196064 1102745080 1323294096 1654117620 1764392128 2205490160 2646588192 3308235240 3528784256 4410980320 5293176384 6616470480 8821960640 10586352768 13232940960 17643921280 26465881920 52931763840