Search a number
-
+
201664662000 = 2435333610777
BaseRepresentation
bin1011101111010000100…
…1101000100111110000
3201021112100122021110120
42323310021220213300
511301002123141000
6232350553330240
720366303225664
oct2736411504760
9637470567416
10201664662000
117858649841a
1233101106980
131602b174b89
149a912088a4
1553a46976a0
hex2ef42689f0

201664662000 has 80 divisors (see below), whose sum is σ = 650166889632. Its totient is φ = 53777241600.

The previous prime is 201664661999. The next prime is 201664662037. The reversal of 201664662000 is 266466102.

201664662000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16799389 + ... + 16811388.

Almost surely, 2201664662000 is an apocalyptic number.

201664662000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201664662000 is an abundant number, since it is smaller than the sum of its proper divisors (448502227632).

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

201664662000 is a wasteful number, since it uses less digits than its factorization.

201664662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33610803 (or 33610787 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 201664662000 in words is "two hundred one billion, six hundred sixty-four million, six hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 33610777 67221554 100832331 134443108 168053885 201664662 268886216 336107770 403329324 504161655 537772432 672215540 806658648 840269425 1008323310 1344431080 1613317296 1680538850 2016646620 2520808275 2688862160 3361077700 4033293240 4201347125 5041616550 6722155400 8066586480 8402694250 10083233100 12604041375 13444310800 16805388500 20166466200 25208082750 33610777000 40332932400 50416165500 67221554000 100832331000 201664662000