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644306157330 = 235114875637121
BaseRepresentation
bin10010110000000111010…
…00111011111100010010
32021121001210201001100020
421120003220323330102
541024014334013310
61211553513004310
764356335655243
oct11300350737422
92247053631306
10644306157330
11229281035350
12a4a549b3696
13489b0ba6a54
14232826dccca
1511b5e903170
hex9603a3bf12

644306157330 has 128 divisors (see below), whose sum is σ = 1693614790656. Its totient is φ = 155575987200.

The previous prime is 644306157323. The next prime is 644306157331. The reversal of 644306157330 is 33751603446.

It is not an unprimeable number, because it can be changed into a prime (644306157331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 90476170 + ... + 90483290.

It is an arithmetic number, because the mean of its divisors is an integer number (13231365552).

Almost surely, 2644306157330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644306157330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846807395328).

644306157330 is an abundant number, since it is smaller than the sum of its proper divisors (1049308633326).

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

644306157330 is a wasteful number, since it uses less digits than its factorization.

644306157330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192.

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 644306157330 in words is "six hundred forty-four billion, three hundred six million, one hundred fifty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 487 563 974 1126 1461 1689 2435 2815 2922 3378 4870 5357 5630 6193 7121 7305 8445 10714 12386 14242 14610 16071 16890 18579 21363 26785 30965 32142 35605 37158 42726 53570 61930 71210 78331 80355 92895 106815 156662 160710 185790 213630 234993 274181 391655 469986 548362 783310 822543 1174965 1370905 1645086 2349930 2741810 3015991 3467927 4009123 4112715 6031982 6935854 8018246 8225430 9047973 10403781 12027369 15079955 17339635 18095946 20045615 20807562 24054738 30159910 34679270 38147197 40091230 44100353 45239865 52018905 60136845 76294394 88200706 90479730 104037810 114441591 120273690 132301059 190735985 220501765 228883182 264602118 381471970 441003530 572207955 661505295 1144415910 1323010590 1952442901 3904885802 5857328703 9762214505 11714657406 19524429010 21476871911 29286643515 42953743822 58573287030 64430615733 107384359555 128861231466 214768719110 322153078665 644306157330