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2666061825 = 35273372801
BaseRepresentation
bin1001111011101000…
…1110000000000001
320212210122222021120
42132322032000001
520430002434300
61120314542453
7123032103000
oct23672160001
96783588246
102666061825
111148a16789
12624a37a29
1333646309b
141b411ac37
151090ce3a0
hex9ee8e001

2666061825 has 96 divisors (see below), whose sum is σ = 5281209600. Its totient is φ = 1185408000.

The previous prime is 2666061821. The next prime is 2666061829. The reversal of 2666061825 is 5281606662.

It is an interprime number because it is at equal distance from previous prime (2666061821) and next prime (2666061829).

It is not a de Polignac number, because 2666061825 - 22 = 2666061821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2666061821) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 950425 + ... + 953225.

It is an arithmetic number, because the mean of its divisors is an integer number (55012600).

Almost surely, 22666061825 is an apocalyptic number.

2666061825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2666061825 is a deficient number, since it is larger than the sum of its proper divisors (2615147775).

2666061825 is a wasteful number, since it uses less digits than its factorization.

2666061825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2666061825 is about 51633.9212630612. The cubic root of 2666061825 is about 1386.6176973264.

The spelling of 2666061825 in words is "two billion, six hundred sixty-six million, sixty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 37 49 75 105 111 147 175 185 245 259 343 525 555 735 777 925 1029 1225 1295 1715 1813 2775 2801 3675 3885 5145 5439 6475 8403 8575 9065 12691 14005 19425 19607 25725 27195 38073 42015 45325 58821 63455 70025 98035 103637 135975 137249 190365 210075 294105 310911 317275 411747 490175 518185 686245 725459 951825 960743 1470525 1554555 2058735 2176377 2590925 2882229 3431225 3627295 4803715 5078213 7772775 10293675 10881885 14411145 15234639 18136475 24018575 25391065 35547491 54409425 72055725 76173195 106642473 126955325 177737455 380865975 533212365 888687275 2666061825