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6642054560 = 255791573347
BaseRepresentation
bin1100010111110010…
…11011010110100000
3122010220012022221202
412023321123112200
5102100331221220
63015030140332
7323411350361
oct61371332640
918126168852
106642054560
1128a92a2999
1213544b16a8
1381b0ca3cb
144701c1b68
1528d1b1275
hex18be5b5a0

6642054560 has 96 divisors (see below), whose sum is σ = 15996476160. Its totient is φ = 2605704192.

The previous prime is 6642054553. The next prime is 6642054583. The reversal of 6642054560 is 654502466.

It is an unprimeable number.

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, 1982807 + ... + 1986153.

It is an arithmetic number, because the mean of its divisors is an integer number (166629960).

Almost surely, 26642054560 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 6642054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998238080).

6642054560 is an abundant number, since it is smaller than the sum of its proper divisors (9354421600).

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

6642054560 is a wasteful number, since it uses less digits than its factorization.

6642054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 6642054560 is about 81498.8009727751. The cubic root of 6642054560 is about 1879.7531137997.

The spelling of 6642054560 in words is "six billion, six hundred forty-two million, fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 157 158 160 314 316 395 628 632 785 790 1256 1264 1570 1580 2512 2528 3140 3160 3347 5024 6280 6320 6694 12403 12560 12640 13388 16735 24806 25120 26776 33470 49612 53552 62015 66940 99224 107104 124030 133880 198448 248060 264413 267760 396896 496120 525479 528826 535520 992240 1050958 1057652 1322065 1984480 2101916 2115304 2627395 2644130 4203832 4230608 5254790 5288260 8407664 8461216 10509580 10576520 16815328 21019160 21153040 41512841 42038320 42306080 83025682 84076640 166051364 207564205 332102728 415128410 664205456 830256820 1328410912 1660513640 3321027280 6642054560