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55100050050 = 235223101158129
BaseRepresentation
bin110011010100001110…
…000000101010000010
312021020000110120001110
4303110032000222002
51400321103100200
641151305144150
73660300461223
oct632416005202
9167200416043
1055100050050
11214055a6151
12a818a8b056
13527155bb16
142949bd724a
1516774b0b50
hexcd4380a82

55100050050 has 96 divisors (see below), whose sum is σ = 144002033280. Its totient is φ = 13915264000.

The previous prime is 55100050007. The next prime is 55100050063. The reversal of 55100050050 is 5005000155.

It is a junction number, because it is equal to n+sod(n) for n = 55100049999 and 55100050026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269386 + ... + 427514.

It is an arithmetic number, because the mean of its divisors is an integer number (1500021180).

Almost surely, 255100050050 is an apocalyptic number.

55100050050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55100050050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72001016640).

55100050050 is an abundant number, since it is smaller than the sum of its proper divisors (88901983230).

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

55100050050 is a wasteful number, since it uses less digits than its factorization.

55100050050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158268 (or 158263 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The spelling of 55100050050 in words is "fifty-five billion, one hundred million, fifty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 101 115 138 150 202 230 303 345 505 575 606 690 1010 1150 1515 1725 2323 2525 3030 3450 4646 5050 6969 7575 11615 13938 15150 23230 34845 58075 69690 116150 158129 174225 316258 348450 474387 790645 948774 1581290 2371935 3636967 3953225 4743870 7273934 7906450 10910901 11859675 15971029 18184835 21821802 23719350 31942058 36369670 47913087 54554505 79855145 90924175 95826174 109109010 159710290 181848350 239565435 272772525 367333667 399275725 479130870 545545050 734667334 798551450 1102001001 1197827175 1836668335 2204002002 2395654350 3673336670 5510005005 9183341675 11020010010 18366683350 27550025025 55100050050