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52468550940 = 223513199338027
BaseRepresentation
bin110000110111010111…
…101000110100011100
312000102121211112220110
4300313113220310130
51324423422112230
640034223050020
73535135216161
oct606727506434
9160377745813
1052468550940
11202851469a3
12a203740910
134c4230a760
14277a516068
15157145c4b0
hexc375e8d1c

52468550940 has 96 divisors (see below), whose sum is σ = 159008371200. Its totient is φ = 12850396416.

The previous prime is 52468550881. The next prime is 52468550941. The reversal of 52468550940 is 4905586425.

It is a super-3 number, since 3×524685509403 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52468550940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52468550941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13794 + ... + 324233.

It is an arithmetic number, because the mean of its divisors is an integer number (1656337200).

Almost surely, 252468550940 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 52468550940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79504185600).

52468550940 is an abundant number, since it is smaller than the sum of its proper divisors (106539820260).

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

52468550940 is a wasteful number, since it uses less digits than its factorization.

52468550940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338251 (or 338249 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 52468550940 in words is "fifty-two billion, four hundred sixty-eight million, five hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 199 260 390 398 597 780 796 995 1194 1990 2388 2587 2985 3980 5174 5970 7761 10348 11940 12935 15522 25870 31044 38805 51740 77610 155220 338027 676054 1014081 1352108 1690135 2028162 3380270 4056324 4394351 5070405 6760540 8788702 10140810 13183053 17577404 20281620 21971755 26366106 43943510 52732212 65915265 67267373 87887020 131830530 134534746 201802119 263661060 269069492 336336865 403604238 672673730 807208476 874475849 1009010595 1345347460 1748951698 2018021190 2623427547 3497903396 4036042380 4372379245 5246855094 8744758490 10493710188 13117137735 17489516980 26234275470 52468550940