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668028528444 = 2232328130728057
BaseRepresentation
bin10011011100010011001…
…10100110011100111100
32100212022001112100210210
421232021212212130330
541421110300402234
61230515453432420
766156240542124
oct11561146463474
92325261470723
10668028528444
11238344763932
12a957549b710
134acc1808a34
1424493109c84
151259c353be9
hex9b899a673c

668028528444 has 96 divisors (see below), whose sum is σ = 1637667795456. Its totient is φ = 211537751040.

The previous prime is 668028528403. The next prime is 668028528449. The reversal of 668028528444 is 444825820866.

It is a super-2 number, since 2×6680285284442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668028528449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23795664 + ... + 23823720.

It is an arithmetic number, because the mean of its divisors is an integer number (17059039536).

Almost surely, 2668028528444 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 668028528444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818833897728).

668028528444 is an abundant number, since it is smaller than the sum of its proper divisors (969639267012).

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

668028528444 is a wasteful number, since it uses less digits than its factorization.

668028528444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28675 (or 28673 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 668028528444 in words is "six hundred sixty-eight billion, twenty-eight million, five hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 281 307 562 614 843 921 1124 1228 1686 1842 3372 3684 6463 7061 12926 14122 19389 21183 25852 28057 28244 38778 42366 56114 77556 84171 84732 86267 112228 168342 172534 258801 336684 345068 517602 645311 1035204 1290622 1935933 1984141 2581244 3871866 3968282 5952423 7743732 7884017 7936564 8613499 11904846 15768034 17226998 23652051 23809692 25840497 31536068 34453996 47304102 51680994 94608204 103361988 181332391 198110477 362664782 396220954 543997173 594331431 725329564 792441908 1087994346 1188662862 2175988692 2377325724 2420393219 4840786438 7261179657 9681572876 14522359314 29044718628 55669044037 111338088074 167007132111 222676176148 334014264222 668028528444