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2666601816 = 233197380107
BaseRepresentation
bin1001111011110001…
…0001110101011000
320212211200102000020
42132330101311120
520430122224231
61120334310440
7123036512214
oct23674216530
96784612006
102666601816
11114925545a
12625058420
133365c1ac8
141b421b944
15109189396
hex9ef11d58

2666601816 has 64 divisors (see below), whose sum is σ = 7113590400. Its totient is φ = 830539008.

The previous prime is 2666601767. The next prime is 2666601887. The reversal of 2666601816 is 6181066662.

It is a super-2 number, since 2×26666018162 = 14221530490188995712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6766 + ... + 73341.

It is an arithmetic number, because the mean of its divisors is an integer number (111149850).

Almost surely, 22666601816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666601816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556795200).

2666601816 is an abundant number, since it is smaller than the sum of its proper divisors (4446988584).

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

2666601816 is a wasteful number, since it uses less digits than its factorization.

2666601816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80208 (or 80204 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2666601816 is about 51639.1500317346. The cubic root of 2666601816 is about 1386.7113073749.

The spelling of 2666601816 in words is "two billion, six hundred sixty-six million, six hundred one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1387 1752 2774 4161 5548 8322 11096 16644 33288 80107 160214 240321 320428 480642 640856 961284 1522033 1922568 3044066 4566099 5847811 6088132 9132198 11695622 12176264 17543433 18264396 23391244 35086866 36528792 46782488 70173732 111108409 140347464 222216818 333325227 444433636 666650454 888867272 1333300908 2666601816