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50566516900 = 225211321992
BaseRepresentation
bin101111000101111111…
…111101000010100100
311211112001211012201021
4233011333331002210
51312030012020100
635121355540524
73440041205344
oct570577750244
9154461735637
1050566516900
111a499531639
12997275a744
1349cb244123
142639a7cd24
1514ae49ba1a
hexbc5ffd0a4

50566516900 has 81 divisors (see below), whose sum is σ = 111268113411. Its totient is φ = 19946868480.

The previous prime is 50566516859. The next prime is 50566516909. The reversal of 50566516900 is 961566505.

The square root of 50566516900 is 224870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25726235236 + 24840281664 = 160394^2 + 157608^2 .

It is a super-2 number, since 2×505665169002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50566516909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 254103001 + ... + 254103199.

Almost surely, 250566516900 is an apocalyptic number.

50566516900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50566516900 is the 224870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50566516900

50566516900 is an abundant number, since it is smaller than the sum of its proper divisors (60701596511).

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

50566516900 is a wasteful number, since it uses less digits than its factorization.

50566516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 50566516900 in words is "fifty billion, five hundred sixty-six million, five hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 199 226 398 452 565 796 995 1130 1990 2260 2825 3980 4975 5650 9950 11300 12769 19900 22487 25538 39601 44974 51076 63845 79202 89948 112435 127690 158404 198005 224870 255380 319225 396010 449740 562175 638450 792020 990025 1124350 1276900 1980050 2248700 2541031 3960100 4474913 5082062 8949826 10164124 12705155 17899652 22374565 25410310 44749130 50820620 63525775 89498260 111872825 127051550 223745650 254103100 447491300 505665169 1011330338 2022660676 2528325845 5056651690 10113303380 12641629225 25283258450 50566516900