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50232514500100 = 2252211233592
BaseRepresentation
bin10110110101111101010110…
…01011101101011000000100
320120212011220022012200200201
423122332223023231120010
523041002142203000400
6254500255410020244
713403115352154062
oct1332765313553004
9216764808180621
1050232514500100
1115007542970479
125773493577684
132204ba104260a
14c593a3a7b032
155c19e285006a
hex2dafab2ed604

50232514500100 has 81 divisors (see below), whose sum is σ = 109556229847701. Its totient is φ = 19991824792800.

The previous prime is 50232514500089. The next prime is 50232514500107. The reversal of 50232514500100 is 100541523205.

The square root of 50232514500100 is 7087490.

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

It can be written as a sum of positive squares in only one way, i.e., 18083705220036 + 32148809280064 = 4252494^2 + 5669992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50232514500107) 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, 14954602221 + ... + 14954605579.

Almost surely, 250232514500100 is an apocalyptic number.

50232514500100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50232514500100 is the 7087490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50232514500100

50232514500100 is an abundant number, since it is smaller than the sum of its proper divisors (59323715347601).

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

50232514500100 is an frugal number, since it uses more digits than its factorization.

50232514500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 50232514500100 in words is "fifty trillion, two hundred thirty-two billion, five hundred fourteen million, five hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 3359 4220 5275 6718 10550 13436 16795 21100 33590 44521 67180 83975 89042 167950 178084 222605 335900 445210 708749 890420 1113025 1417498 2226050 2834996 3543745 4452100 7087490 11282881 14174980 17718725 22565762 35437450 45131524 56414405 70874900 112828810 149546039 225657620 282072025 299092078 564144050 598184156 747730195 1128288100 1495460390 2380687891 2990920780 3738650975 4761375782 7477301950 9522751564 11903439455 14954603900 23806878910 47613757820 59517197275 119034394550 238068789100 502325145001 1004650290002 2009300580004 2511625725005 5023251450010 10046502900020 12558128625025 25116257250050 50232514500100