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44640785253376 = 210132160612
BaseRepresentation
bin10100010011001101111100…
…01001011100010000000000
312212001121200002010022100201
422021212332021130100000
521322343312011102001
6234535405454054544
712255122162613124
oct1211467611342000
9185047602108321
1044640785253376
1113251061546804
12500b8247aa454
131bba7b9991900
14b048a8677584
1552632143e501
hex2899be25c400

44640785253376 has 99 divisors (see below), whose sum is σ = 96636487883583. Its totient is φ = 20602156523520.

The previous prime is 44640785253373. The next prime is 44640785253377. The reversal of 44640785253376 is 67335258704644.

The square root of 44640785253376 is 6681376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34557467673600 + 10083317579776 = 5878560^2 + 3175424^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44640785253373) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2779444386 + ... + 2779460446.

Almost surely, 244640785253376 is an apocalyptic number.

44640785253376 is the 6681376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44640785253376

44640785253376 is an abundant number, since it is smaller than the sum of its proper divisors (51995702630207).

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

44640785253376 is an frugal number, since it uses more digits than its factorization.

44640785253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32168 (or 16076 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 64.

44640785253376 divided by its sum of digits (64) gives a square (697512269584 = 8351722).

The spelling of 44640785253376 in words is "forty-four trillion, six hundred forty billion, seven hundred eighty-five million, two hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 10816 13312 16061 21632 32122 43264 64244 86528 128488 173056 208793 256976 417586 513952 835172 1027904 1670344 2055808 2714309 3340688 4111616 5428618 6681376 8223232 10857236 13362752 16446464 21714472 26725504 43428944 53451008 86857888 106902016 173715776 213804032 257955721 347431552 515911442 694863104 1031822884 1389726208 2063645768 2779452416 3353424373 4127291536 6706848746 8254583072 13413697492 16509166144 26827394984 33018332288 43594516849 53654789968 66036664576 87189033698 107309579936 132073329152 174378067396 214619159872 264146658304 348756134792 429238319744 697512269584 858476639488 1395024539168 1716953278976 2790049078336 3433906557952 5580098156672 11160196313344 22320392626688 44640785253376