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4265045640 = 2332513786477
BaseRepresentation
bin1111111000110111…
…0110111010001000
3102000020102202201100
43332031312322020
532213322430030
61543114421400
7210456201252
oct37615667210
912006382640
104265045640
111899563a09
129b0431860
1352c80145b
142c6628cd2
1519e67c360
hexfe376e88

4265045640 has 96 divisors (see below), whose sum is σ = 13962737880. Its totient is φ = 1129030656.

The previous prime is 4265045633. The next prime is 4265045651. The reversal of 4265045640 is 465405624.

4265045640 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 0 + 4 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2294218404 + 1970827236 = 47898^2 + 44394^2 .

It is a super-2 number, since 2×42650456402 = 36381228622566019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4265045595 and 4265045604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6082 + ... + 92558.

Almost surely, 24265045640 is an apocalyptic number.

4265045640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4265045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981368940).

4265045640 is an abundant number, since it is smaller than the sum of its proper divisors (9697692240).

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

4265045640 is a wasteful number, since it uses less digits than its factorization.

4265045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86631 (or 86624 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4265045640 is about 65307.3168948166. The cubic root of 4265045640 is about 1621.7151017256.

The spelling of 4265045640 in words is "four billion, two hundred sixty-five million, forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 86477 172954 259431 345908 432385 518862 691816 778293 864770 1037724 1297155 1556586 1729540 2075448 2594310 3113172 3459080 3891465 5188620 6226344 7782930 10377240 11847349 15565860 23694698 31131720 35542047 47389396 59236745 71084094 94778792 106626141 118473490 142168188 177710235 213252282 236946980 284336376 355420470 426504564 473893960 533130705 710840940 853009128 1066261410 1421681880 2132522820 4265045640