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4476802068 = 2233433173041
BaseRepresentation
bin1000010101101011…
…01001010000010100
3102112222220002221000
410022311221100110
533132030131233
62020121223300
7215640122034
oct41265512024
912488802830
104476802068
111998046722
12a4b331b30
1356464390b
143067cb8c4
151b3059d13
hex10ad69414

4476802068 has 96 divisors (see below), whose sum is σ = 11917825920. Its totient is φ = 1452487680.

The previous prime is 4476802063. The next prime is 4476802079. The reversal of 4476802068 is 8602086744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4476802063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470628 + ... + 1473668.

It is an arithmetic number, because the mean of its divisors is an integer number (124144020).

Almost surely, 24476802068 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 4476802068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958912960).

4476802068 is an abundant number, since it is smaller than the sum of its proper divisors (7441023852).

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

4476802068 is a wasteful number, since it uses less digits than its factorization.

4476802068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4476802068 is about 66908.9087341888. The cubic root of 4476802068 is about 1648.1217768474.

The spelling of 4476802068 in words is "four billion, four hundred seventy-six million, eight hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 317 387 516 634 774 951 1161 1268 1548 1902 2322 2853 3041 3804 4644 5706 6082 8559 9123 11412 12164 13631 17118 18246 27262 27369 34236 36492 40893 54524 54738 81786 82107 109476 122679 130763 163572 164214 245358 261526 328428 368037 392289 490716 523052 736074 784578 963997 1176867 1472148 1569156 1927994 2353734 2891991 3530601 3855988 4707468 5783982 7061202 8675973 11567964 14122404 17351946 26027919 34703892 41451871 52055838 82903742 104111676 124355613 165807484 248711226 373066839 497422452 746133678 1119200517 1492267356 2238401034 4476802068