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6604425540 = 223251710919801
BaseRepresentation
bin1100010011010011…
…11000100101000100
3122001021101120122100
412021221320211010
5102011213104130
63011203432100
7322443455646
oct61151704504
918037346570
106604425540
11288a031729
121343985630
13813383b0b
144691c8896
15289c2bc60
hex189a78944

6604425540 has 144 divisors (see below), whose sum is σ = 21407546160. Its totient is φ = 1642291200.

The previous prime is 6604425539. The next prime is 6604425563. The reversal of 6604425540 is 455244066.

6604425540 is a `hidden beast` number, since 6 + 60 + 4 + 42 + 554 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 286083396 + 6318342144 = 16914^2 + 79488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6604425495 and 6604425504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323640 + ... + 343440.

It is an arithmetic number, because the mean of its divisors is an integer number (148663515).

Almost surely, 26604425540 is an apocalyptic number.

6604425540 is a gapful number since it is divisible by the number (60) 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 6604425540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703773080).

6604425540 is an abundant number, since it is smaller than the sum of its proper divisors (14803120620).

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

6604425540 is a wasteful number, since it uses less digits than its factorization.

6604425540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19942 (or 19937 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6604425540 is about 81267.6167978365. The cubic root of 6604425540 is about 1876.1966206903.

The spelling of 6604425540 in words is "six billion, six hundred four million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 109 153 170 180 204 218 255 306 327 340 436 510 545 612 654 765 981 1020 1090 1308 1530 1635 1853 1962 2180 3060 3270 3706 3924 4905 5559 6540 7412 9265 9810 11118 16677 18530 19620 19801 22236 27795 33354 37060 39602 55590 59403 66708 79204 83385 99005 111180 118806 166770 178209 198010 237612 297015 333540 336617 356418 396020 594030 673234 712836 891045 1009851 1188060 1346468 1683085 1782090 2019702 2158309 3029553 3366170 3564180 4039404 4316618 5049255 6059106 6474927 6732340 8633236 10098510 10791545 12118212 12949854 15147765 19424781 20197020 21583090 25899708 30295530 32374635 36691253 38849562 43166180 60591060 64749270 73382506 77699124 97123905 110073759 129498540 146765012 183456265 194247810 220147518 330221277 366912530 388495620 440295036 550368795 660442554 733825060 1100737590 1320885108 1651106385 2201475180 3302212770 6604425540