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6661659084 = 22319592112347
BaseRepresentation
bin1100011010001000…
…01101100111001100
3122012021002100022020
412031010031213030
5102120341042314
63021010250140
7324040111413
oct61504154714
918167070266
106661659084
112909373083
12135ab86950
138221a2812
14472a4647a
1528ec84da9
hex18d10d9cc

6661659084 has 96 divisors (see below), whose sum is σ = 16725273600. Its totient is φ = 2057348160.

The previous prime is 6661659077. The next prime is 6661659089. The reversal of 6661659084 is 4809561666.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6661659089) 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, 2837199 + ... + 2839545.

It is an arithmetic number, because the mean of its divisors is an integer number (174221600).

Almost surely, 26661659084 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 6661659084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362636800).

6661659084 is an abundant number, since it is smaller than the sum of its proper divisors (10063614516).

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

6661659084 is a wasteful number, since it uses less digits than its factorization.

6661659084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 6661659084 is about 81618.9872762460. The cubic root of 6661659084 is about 1881.6007081556.

The spelling of 6661659084 in words is "six billion, six hundred sixty-one million, six hundred fifty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 211 228 236 354 422 633 708 844 1121 1266 2242 2347 2532 3363 4009 4484 4694 6726 7041 8018 9388 12027 12449 13452 14082 16036 24054 24898 28164 37347 44593 48108 49796 74694 89186 133779 138473 149388 178372 236531 267558 276946 415419 473062 495217 535116 553892 709593 830838 946124 990434 1419186 1485651 1661676 1980868 2630987 2838372 2971302 5261974 5942604 7892961 9409123 10523948 15785922 18818246 28227369 29217803 31571844 37636492 56454738 58435606 87653409 112909476 116871212 175306818 350613636 555138257 1110276514 1665414771 2220553028 3330829542 6661659084