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2068242199584 = 2531153179206447
BaseRepresentation
bin11110000110001100110…
…101110111010000100000
321022201111100120202222120
4132012030311313100200
5232341230000341314
64222045400104240
7302265653426121
oct36061465672040
97281440522876
102068242199584
11728155891440
12294a0a165080
1312005a775722
1472163c56048
1538bee11d8a9
hex1e18cd77420

2068242199584 has 192 divisors, whose sum is σ = 6068183869440. Its totient is φ = 611476536320.

The previous prime is 2068242199549. The next prime is 2068242199589. The reversal of 2068242199584 is 4859912428602.

It is a super-2 number, since 2×20682421995842 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2068242199589) by changing a digit.

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, 9915049 + ... + 10121495.

It is an arithmetic number, because the mean of its divisors is an integer number (31605124320).

Almost surely, 22068242199584 is an apocalyptic number.

2068242199584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068242199584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034091934720).

2068242199584 is an abundant number, since it is smaller than the sum of its proper divisors (3999941669856).

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

2068242199584 is a wasteful number, since it uses less digits than its factorization.

2068242199584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206703 (or 206695 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 2068242199584 in words is "two trillion, sixty-eight billion, two hundred forty-two million, one hundred ninety-nine thousand, five hundred eighty-four".