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4335082668 = 22327432291747
BaseRepresentation
bin1000000100110010…
…00001110010101100
3102012010020000110100
410002121001302230
532334240121133
61554055511100
7212266410660
oct40231016254
912163200410
104335082668
11192504a854
12a0b988490
13541183a97
142d1a5a8a0
151a58b3e13
hex102641cac

4335082668 has 144 divisors (see below), whose sum is σ = 12878145280. Its totient is φ = 1203818112.

The previous prime is 4335082663. The next prime is 4335082679. The reversal of 4335082668 is 8662805334.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4335082663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480571 + ... + 2482317.

Almost surely, 24335082668 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 4335082668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439072640).

4335082668 is an abundant number, since it is smaller than the sum of its proper divisors (8543062612).

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

4335082668 is a wasteful number, since it uses less digits than its factorization.

4335082668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4335082668 is about 65841.3446703513. The cubic root of 4335082668 is about 1630.5437692975.

The spelling of 4335082668 in words is "four billion, three hundred thirty-five million, eighty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 229 252 258 301 387 458 516 602 687 774 903 916 1204 1374 1548 1603 1747 1806 2061 2709 2748 3206 3494 3612 4122 4809 5241 5418 6412 6988 8244 9618 9847 10482 10836 12229 14427 15723 19236 19694 20964 24458 28854 29541 31446 36687 39388 48916 57708 59082 62892 68929 73374 75121 88623 110061 118164 137858 146748 150242 177246 206787 220122 225363 275716 300484 354492 400063 413574 440244 450726 525847 620361 676089 800126 827148 901452 1051694 1200189 1240722 1352178 1577541 1600252 2103388 2400378 2481444 2704356 2800441 3155082 3600567 4732623 4800756 5600882 6310164 7201134 8401323 9465246 11201764 14402268 16802646 17202709 18930492 25203969 33605292 34405418 50407938 51608127 68810836 100815876 103216254 120418963 154824381 206432508 240837926 309648762 361256889 481675852 619297524 722513778 1083770667 1445027556 2167541334 4335082668