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2946121068 = 22311219310513
BaseRepresentation
bin1010111110011010…
…0011110101101100
321121022122110100010
42233212203311230
522013201333233
61204201333220
7133002421152
oct25746436554
97538573303
102946121068
111282010400
126a2797210
1337c49b707
141dd3bd3d2
1512399eb63
hexaf9a3d6c

2946121068 has 72 divisors (see below), whose sum is σ = 7595902384. Its totient is φ = 888053760.

The previous prime is 2946121043. The next prime is 2946121091. The reversal of 2946121068 is 8601216492.

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 23 ways as a sum of consecutive naturals, for example, 274980 + ... + 285492.

Almost surely, 22946121068 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 2946121068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797951192).

2946121068 is an abundant number, since it is smaller than the sum of its proper divisors (4649781316).

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

2946121068 is a wasteful number, since it uses less digits than its factorization.

2946121068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2946121068 is about 54278.1822466449. The cubic root of 2946121068 is about 1433.5632636122.

The spelling of 2946121068 in words is "two billion, nine hundred forty-six million, one hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 193 242 363 386 484 579 726 772 1158 1452 2123 2316 4246 6369 8492 10513 12738 21026 23353 25476 31539 42052 46706 63078 70059 93412 115643 126156 140118 231286 280236 346929 462572 693858 1272073 1387716 2029009 2544146 3816219 4058018 5088292 6087027 7632438 8116036 12174054 15264876 22319099 24348108 44638198 66957297 89276396 133914594 245510089 267829188 491020178 736530267 982040356 1473060534 2946121068