Search a number
-
+
42893368084 = 2274389613653
BaseRepresentation
bin100111111100101001…
…001101101100010100
311002201022102212100101
4213330221031230110
51200321200234314
631412133423444
73045636420160
oct477451155424
9132638385311
1042893368084
1117211208336
128390a9ab84
134077640798
14210c977ca0
1511b0a16174
hex9fca4db14

42893368084 has 96 divisors (see below), whose sum is σ = 89049058560. Its totient is φ = 17697512448.

The previous prime is 42893368051. The next prime is 42893368097. The reversal of 42893368084 is 48086339824.

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 31 ways as a sum of consecutive naturals, for example, 65686302 + ... + 65686954.

It is an arithmetic number, because the mean of its divisors is an integer number (927594360).

Almost surely, 242893368084 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 42893368084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44524529280).

42893368084 is an abundant number, since it is smaller than the sum of its proper divisors (46155690476).

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

42893368084 is a wasteful number, since it uses less digits than its factorization.

42893368084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 42893368084 in words is "forty-two billion, eight hundred ninety-three million, three hundred sixty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 28 43 86 89 172 178 301 356 602 613 623 653 1204 1226 1246 1306 2452 2492 2612 3827 4291 4571 7654 8582 9142 15308 17164 18284 26359 26789 28079 52718 53578 54557 56158 58117 105436 107156 109114 112316 116234 184513 196553 218228 232468 369026 381899 393106 400289 406819 738052 763798 786212 800578 813638 1527596 1601156 1627276 2345951 2499031 2802023 4691902 4998062 5604046 9383804 9996124 11208092 16421657 17212427 17493217 32843314 34424854 34986434 35625721 65686628 68849708 69972868 71251442 120486989 142502884 240973978 249380047 481947956 498760094 997520188 1531906003 3063812006 6127624012 10723342021 21446684042 42893368084