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5934834460 = 2254112756989
BaseRepresentation
bin1011000011011111…
…00110001100011100
3120022121102211100201
411201233212030130
544123304200320
62420524033244
7300033155242
oct54157461434
916277384321
105934834460
112576071a75
121197692824
13737730889
144042c8792
1524b06470a
hex161be631c

5934834460 has 48 divisors (see below), whose sum is σ = 12867886080. Its totient is φ = 2297756160.

The previous prime is 5934834449. The next prime is 5934834469. The reversal of 5934834460 is 644384395.

It is a self number, because there is not a number n which added to its sum of digits gives 5934834460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5934834469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75646 + ... + 132634.

It is an arithmetic number, because the mean of its divisors is an integer number (268080960).

Almost surely, 25934834460 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 5934834460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433943040).

5934834460 is an abundant number, since it is smaller than the sum of its proper divisors (6933051620).

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

5934834460 is a wasteful number, since it uses less digits than its factorization.

5934834460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57166 (or 57164 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The square root of 5934834460 is about 77037.8767879801. The cubic root of 5934834460 is about 1810.5180959395.

The spelling of 5934834460 in words is "five billion, nine hundred thirty-four million, eight hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 254 410 508 635 820 1270 2540 5207 10414 20828 26035 52070 56989 104140 113978 227956 284945 569890 1139780 2336549 4673098 7237603 9346196 11682745 14475206 23365490 28950412 36188015 46730980 72376030 144752060 296741723 593483446 1186966892 1483708615 2967417230 5934834460