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2066466042 = 2321773791171
BaseRepresentation
bin111101100101011…
…1100010011111010
312100000102100111100
41323022330103322
513213003403132
6541015312230
7102131446224
oct17312742372
95300370440
102066466042
11970514583
1249807b676
1326c179494
1415863b414
15c164137c
hex7b2bc4fa

2066466042 has 96 divisors (see below), whose sum is σ = 4870644480. Its totient is φ = 630789120.

The previous prime is 2066466041. The next prime is 2066466047. The reversal of 2066466042 is 2406646602.

2066466042 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 46 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2066465988 and 2066466006.

It is not an unprimeable number, because it can be changed into a prime (2066466041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1764117 + ... + 1765287.

It is an arithmetic number, because the mean of its divisors is an integer number (50735880).

Almost surely, 22066466042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066466042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435322240).

2066466042 is an abundant number, since it is smaller than the sum of its proper divisors (2804178438).

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

2066466042 is a wasteful number, since it uses less digits than its factorization.

2066466042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2066466042 is about 45458.3990259226. The cubic root of 2066466042 is about 1273.7262259136.

The spelling of 2066466042 in words is "two billion, sixty-six million, four hundred sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 73 79 102 146 153 158 219 237 306 438 474 657 711 1171 1241 1314 1343 1422 2342 2482 2686 3513 3723 4029 5767 7026 7446 8058 10539 11169 11534 12087 17301 19907 21078 22338 24174 34602 39814 51903 59721 85483 92509 98039 103806 119442 170966 179163 185018 196078 256449 277527 294117 358326 512898 555054 588234 769347 832581 882351 1453211 1538694 1572653 1665162 1764702 2906422 3145306 4359633 4717959 6753157 8719266 9435918 13078899 13506314 14153877 20259471 26157798 28307754 40518942 60778413 114803669 121556826 229607338 344411007 688822014 1033233021 2066466042