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581334062442 = 23713
BaseRepresentation
bin10000111010110100011…
…01011101010101101010
32001120112011121011212120
420131122031131111222
534011033004444232
61123021114252110
760000000000000
oct10353215352552
92046464534776
10581334062442
112045a6a17421
12947bb727036
1342a86785943
14201cb228a70
15101c62be92c
hex875a35d56a

581334062442 has 56 divisors (see below), whose sum is σ = 1356446145696. Its totient is φ = 166095446412.

The previous prime is 581334062303. The next prime is 581334062521. The reversal of 581334062442 is 244260433185.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 581334062394 and 581334062403.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83047723203 + ... + 83047723209.

Almost surely, 2581334062442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581334062442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678223072848).

581334062442 is an abundant number, since it is smaller than the sum of its proper divisors (775112083254).

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

581334062442 is an frugal number, since it uses more digits than its factorization.

581334062442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Multiplying 581334062442 by its sum of digits (42), we get a square (24416030622564 = 49412582).

581334062442 divided by its sum of digits (42) gives a 12-th power (13841287201 = 712).

The spelling of 581334062442 in words is "five hundred eighty-one billion, three hundred thirty-four million, sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 14406 16807 33614 50421 100842 117649 235298 352947 705894 823543 1647086 2470629 4941258 5764801 11529602 17294403 34588806 40353607 80707214 121060821 242121642 282475249 564950498 847425747 1694851494 1977326743 3954653486 5931980229 11863960458 13841287201 27682574402 41523861603 83047723206 96889010407 193778020814 290667031221 581334062442