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2142888066 = 2321189277439
BaseRepresentation
bin111111110111001…
…1110000010000010
312112100012222210200
41333232132002002
513342034404231
6552345310030
7104050151034
oct17756360202
95470188720
102142888066
119aa671580
124b9795316
13281c56107
14164851c54
15c81d9be6
hex7fb9e082

2142888066 has 96 divisors (see below), whose sum is σ = 5152118400. Its totient is φ = 638288640.

The previous prime is 2142888053. The next prime is 2142888119. The reversal of 2142888066 is 6608882412.

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 47 ways as a sum of consecutive naturals, for example, 4881075 + ... + 4881513.

It is an arithmetic number, because the mean of its divisors is an integer number (53667900).

Almost surely, 22142888066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142888066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576059200).

2142888066 is an abundant number, since it is smaller than the sum of its proper divisors (3009230334).

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

2142888066 is a wasteful number, since it uses less digits than its factorization.

2142888066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2142888066 is about 46291.3389955400. The cubic root of 2142888066 is about 1289.2381909091.

The spelling of 2142888066 in words is "two billion, one hundred forty-two million, eight hundred eighty-eight thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 277 439 534 554 801 831 878 979 1317 1602 1662 1958 2493 2634 2937 3047 3951 4829 4986 5874 6094 7902 8811 9141 9658 14487 17622 18282 24653 27423 28974 39071 43461 49306 54846 73959 78142 86922 117213 121603 147918 221877 234426 243206 271183 351639 364809 429781 443754 542366 703278 729618 813549 859562 1094427 1289343 1337633 1627098 2188854 2440647 2578686 2675266 3868029 4012899 4881294 7736058 8025798 10822667 12038697 21645334 24077394 32468001 64936002 97404003 119049337 194808006 238098674 357148011 714296022 1071444033 2142888066