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4745700666 = 232735314503
BaseRepresentation
bin1000110101101110…
…11010010100111010
3110020201212120110100
410122313122110322
534204344410131
62102524500230
7225413535000
oct43267322472
913221776410
104745700666
112015908173
12b053aa676
135a8272305
143303c6a70
151cb9737e6
hex11adda53a

4745700666 has 96 divisors (see below), whose sum is σ = 12218169600. Its totient is φ = 1330239456.

The previous prime is 4745700649. The next prime is 4745700683. The reversal of 4745700666 is 6660075474.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4745700649) and next prime (4745700683).

It is a super-2 number, since 2×47457006662 = 45043349622545687112, which contains 22 as substring.

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, 319971 + ... + 334473.

It is an arithmetic number, because the mean of its divisors is an integer number (127272600).

Almost surely, 24745700666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745700666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109084800).

4745700666 is an abundant number, since it is smaller than the sum of its proper divisors (7472468934).

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

4745700666 is a wasteful number, since it uses less digits than its factorization.

4745700666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4745700666 is about 68889.0460523297. The cubic root of 4745700666 is about 1680.4803834582.

The spelling of 4745700666 in words is "four billion, seven hundred forty-five million, seven hundred thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 343 371 441 477 686 742 882 954 1029 1113 2058 2226 2597 3087 3339 5194 6174 6678 7791 14503 15582 18179 23373 29006 36358 43509 46746 54537 87018 101521 109074 130527 163611 203042 261054 304563 327222 609126 710647 768659 913689 1421294 1537318 1827378 2131941 2305977 4263882 4611954 4974529 5380613 6395823 6917931 9949058 10761226 12791646 13835862 14923587 16141839 29847174 32283678 37664291 44770761 48425517 75328582 89541522 96851034 112992873 225985746 263650037 338978619 527300074 677957238 790950111 1581900222 2372850333 4745700666