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666006975440 = 24517956382609
BaseRepresentation
bin10011011000100010001…
…10111111001111010000
32100200002011121211102022
421230101012333033100
541402440241203230
61225543120511012
766055162612442
oct11542106771720
92320064554368
10666006975440
112374a7636174
12a90b047b468
134aa5ba56421
1424340840492
15124ceb351e5
hex9b111bf3d0

666006975440 has 80 divisors (see below), whose sum is σ = 1559901499200. Its totient is φ = 264440764416.

The previous prime is 666006975353. The next prime is 666006975449. The reversal of 666006975440 is 44579600666.

It is a happy number.

666006975440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666006975449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8020856 + ... + 8103464.

It is an arithmetic number, because the mean of its divisors is an integer number (19498768740).

Almost surely, 2666006975440 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 666006975440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950749600).

666006975440 is an abundant number, since it is smaller than the sum of its proper divisors (893894523760).

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

666006975440 is a wasteful number, since it uses less digits than its factorization.

666006975440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83364 (or 83358 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 666006975440 in words is "six hundred sixty-six billion, six million, nine hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 563 716 895 1126 1432 1790 2252 2815 2864 3580 4504 5630 7160 9008 11260 14320 22520 45040 82609 100777 165218 201554 330436 403108 413045 503885 660872 806216 826090 1007770 1321744 1612432 1652180 2015540 3304360 4031080 6608720 8062160 14787011 29574022 46508867 59148044 73935055 93017734 118296088 147870110 186035468 232544335 236592176 295740220 372070936 465088670 591480440 744141872 930177340 1182960880 1860354680 3720709360 8325087193 16650174386 33300348772 41625435965 66600697544 83250871930 133201395088 166501743860 333003487720 666006975440