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3745655560 = 2351719727961
BaseRepresentation
bin1101111101000010…
…0010101100001000
3100200001010000110201
43133100202230020
530132341434220
61415402221544
7161551355413
oct33720425410
910601100421
103745655560
111652363509
128864b48b4
1347901a74a
14277666b7a
1516dc83d0a
hexdf422b08

3745655560 has 64 divisors (see below), whose sum is σ = 8969091120. Its totient is φ = 1402920960.

The previous prime is 3745655531. The next prime is 3745655597. The reversal of 3745655560 is 655565473.

It can be written as a sum of positive squares in 8 ways, for example, as 2795659876 + 949995684 = 52874^2 + 30822^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3745655560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119980 + ... + 147940.

Almost surely, 23745655560 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 3745655560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484545560).

3745655560 is an abundant number, since it is smaller than the sum of its proper divisors (5223435560).

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

3745655560 is a wasteful number, since it uses less digits than its factorization.

3745655560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28186 (or 28182 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 46.

The square root of 3745655560 is about 61201.7610857727. The cubic root of 3745655560 is about 1553.0160573521.

The spelling of 3745655560 in words is "three billion, seven hundred forty-five million, six hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 340 394 680 788 985 1576 1970 3349 3940 6698 7880 13396 16745 26792 27961 33490 55922 66980 111844 133960 139805 223688 279610 475337 559220 950674 1118440 1901348 2376685 3802696 4753370 5508317 9506740 11016634 19013480 22033268 27541585 44066536 55083170 93641389 110166340 187282778 220332680 374565556 468206945 749131112 936413890 1872827780 3745655560