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4483640010 = 2351723216619
BaseRepresentation
bin1000010110011111…
…01110101011001010
3102120110202111211010
410023033232223022
533140302440020
62020523544350
7216052211523
oct41317565312
912513674733
104483640010
1119a0997113
12a5168b0b6
13565b99135
1430768b84a
151b395ade0
hex10b3eeaca

4483640010 has 96 divisors (see below), whose sum is σ = 11911354560. Its totient is φ = 1076314624.

The previous prime is 4483640009. The next prime is 4483640087. The reversal of 4483640010 is 100463844.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4483640010.

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, 261481 + ... + 278099.

It is an arithmetic number, because the mean of its divisors is an integer number (124076610).

Almost surely, 24483640010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4483640010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955677280).

4483640010 is an abundant number, since it is smaller than the sum of its proper divisors (7427714550).

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

4483640010 is a wasteful number, since it uses less digits than its factorization.

4483640010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16692 (or 16669 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4483640010 is about 66959.9881272391. The cubic root of 4483640010 is about 1648.9604728584.

The spelling of 4483640010 in words is "four billion, four hundred eighty-three million, six hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 529 690 782 1058 1173 1587 1955 2346 2645 3174 3910 5290 5865 7935 8993 11730 15870 16619 17986 26979 33238 44965 49857 53958 83095 89930 99714 134895 166190 249285 269790 282523 382237 498570 565046 764474 847569 1146711 1412615 1695138 1911185 2293422 2825230 3822370 4237845 5733555 6498029 8475690 8791451 11467110 12996058 17582902 19494087 26374353 32490145 38988174 43957255 52748706 64980290 87914510 97470435 131871765 149454667 194940870 263743530 298909334 448364001 747273335 896728002 1494546670 2241820005 4483640010