Search a number
-
+
601116054636500 = 22531392479393021
BaseRepresentation
bin1000100010101101100011110…
…0111001111100011111010100
32220211101010121101120222102122
42020223120330321330133110
51112242141134441332000
65530244523032355112
7240421126131163124
oct21053307471743724
92824333541528378
10601116054636500
11164596983862a67
125750439a545a98
131ca5500178a9c0
14a86225aa4ac84
15497661c358085
hex222b63ce7c7d4

601116054636500 has 48 divisors (see below), whose sum is σ = 1413824960520336. Its totient is φ = 221950543248000.

The previous prime is 601116054636499. The next prime is 601116054636509. The reversal of 601116054636500 is 5636450611106.

It can be written as a sum of positive squares in 8 ways, for example, as 492878539953424 + 108237514683076 = 22200868^2 + 10403726^2 .

It is a super-2 number, since 2×6011160546365002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601116054636509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46239690011 + ... + 46239703010.

It is an arithmetic number, because the mean of its divisors is an integer number (29454686677507).

Almost surely, 2601116054636500 is an apocalyptic number.

It is an amenable number.

601116054636500 is an abundant number, since it is smaller than the sum of its proper divisors (812708905883836).

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

601116054636500 is a wasteful number, since it uses less digits than its factorization.

601116054636500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92479393053 (or 92479393041 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 601116054636500 in words is "six hundred one trillion, one hundred sixteen billion, fifty-four million, six hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 92479393021 184958786042 369917572084 462396965105 924793930210 1202232109273 1849587860420 2311984825525 2404464218546 4623969651050 4808928437092 6011160546365 9247939302100 11559924127625 12022321092730 23119848255250 24044642185460 30055802731825 46239696510500 60111605463650 120223210927300 150279013659125 300558027318250 601116054636500