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4495983690 = 23511210112263
BaseRepresentation
bin1000010111111101…
…10100010001001010
3102121022222122011110
410023332310101022
533201432434230
62022044311150
7216262142112
oct41376642112
912538878143
104495983690
1119a7958100
12a558424b6
135685cb6a3
14309182042
151b4a984b0
hex10bfb444a

4495983690 has 96 divisors (see below), whose sum is σ = 11978886528. Its totient is φ = 1079056000.

The previous prime is 4495983689. The next prime is 4495983691. The reversal of 4495983690 is 963895944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4495983689) and next prime (4495983691).

It is a super-2 number, since 2×44959836902 = 40427738681492032200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4495983690.

It is not an unprimeable number, because it can be changed into a prime (4495983691) 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, 360499 + ... + 372761.

It is an arithmetic number, because the mean of its divisors is an integer number (124780068).

Almost surely, 24495983690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4495983690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989443264).

4495983690 is an abundant number, since it is smaller than the sum of its proper divisors (7482902838).

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

4495983690 is a wasteful number, since it uses less digits than its factorization.

4495983690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12396 (or 12385 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The square root of 4495983690 is about 67052.0968352221. The cubic root of 4495983690 is about 1650.4723092340.

The spelling of 4495983690 in words is "four billion, four hundred ninety-five million, nine hundred eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1515 1815 2222 3030 3333 3630 5555 6666 11110 12221 12263 16665 24442 24526 33330 36663 36789 61105 61315 73326 73578 122210 122630 134893 183315 183945 269786 366630 367890 404679 674465 809358 1238563 1348930 1483823 2023395 2477126 2967646 3715689 4046790 4451469 6192815 7419115 7431378 8902938 12385630 13624193 14838230 18578445 22257345 27248386 37156890 40872579 44514690 68120965 81745158 136241930 149866123 204362895 299732246 408725790 449598369 749330615 899196738 1498661230 2247991845 4495983690