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2065497344 = 2841475379
BaseRepresentation
bin111101100011100…
…1111110100000000
312022221121010200122
41323013033310000
513212231403334
6540542435412
7102120303101
oct17307176400
95287533618
102065497344
1196aa127a9
12497892b68
1326bbca5a1
141584683a8
15c14ee32e
hex7b1cfd00

2065497344 has 144 divisors (see below), whose sum is σ = 4450360320. Its totient is φ = 955269120.

The previous prime is 2065497299. The next prime is 2065497349. The reversal of 2065497344 is 4437945602.

It is a junction number, because it is equal to n+sod(n) for n = 2065497295 and 2065497304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065497349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26145497 + ... + 26145575.

It is an arithmetic number, because the mean of its divisors is an integer number (30905280).

Almost surely, 22065497344 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 2065497344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225180160).

2065497344 is an abundant number, since it is smaller than the sum of its proper divisors (2384862976).

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

2065497344 is an equidigital number, since it uses as much as digits as its factorization.

2065497344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 2065497344 is about 45447.7430022658. The cubic root of 2065497344 is about 1273.5271664451.

The spelling of 2065497344 in words is "two billion, sixty-five million, four hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 47 53 64 79 82 94 106 128 158 164 188 212 256 316 328 376 424 632 656 752 848 1264 1312 1504 1696 1927 2173 2491 2528 2624 3008 3239 3392 3713 3854 4187 4346 4982 5056 5248 6016 6478 6784 7426 7708 8374 8692 9964 10112 10496 12032 12956 13568 14852 15416 16748 17384 19928 20224 25912 29704 30832 33496 34768 39856 51824 59408 61664 66992 69536 79712 102131 103648 118816 123328 133984 139072 152233 159424 171667 196789 204262 207296 237632 246656 267968 278144 304466 318848 343334 393578 408524 414592 475264 493312 535936 556288 608932 637696 686668 787156 817048 829184 950528 1071872 1217864 1373336 1574312 1634096 2435728 2746672 3148624 3268192 4871456 5493344 6297248 6536384 8068349 9742912 10986688 12594496 13072768 16136698 19485824 21973376 25188992 26145536 32273396 38971648 43946752 50377984 64546792 129093584 258187168 516374336 1032748672 2065497344