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644059968 = 26331241449
BaseRepresentation
bin100110011000111…
…001001101000000
31122212220122011220
4212120321031000
52304334404333
6143524235040
721650263566
oct4630711500
91585818156
10644059968
11300611872
1215b83ba80
13a3584396
1461775a36
153b8228b3
hex26639340

644059968 has 112 divisors (see below), whose sum is σ = 1770278400. Its totient is φ = 206438400.

The previous prime is 644059919. The next prime is 644059991. The reversal of 644059968 is 869950446.

644059968 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×6440599682 = 829626484760322048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 644059968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434208 + ... + 1434656.

Almost surely, 2644059968 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 644059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885139200).

644059968 is an abundant number, since it is smaller than the sum of its proper divisors (1126218432).

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

644059968 is a wasteful number, since it uses less digits than its factorization.

644059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 644059968 is about 25378.3365885158. The cubic root of 644059968 is about 863.5923145192.

The spelling of 644059968 in words is "six hundred forty-four million, fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 241 248 372 449 482 496 723 744 898 964 992 1347 1446 1488 1796 1928 1984 2694 2892 2976 3592 3856 5388 5784 5952 7184 7471 7712 10776 11568 13919 14368 14942 15424 21552 22413 23136 27838 28736 29884 41757 43104 44826 46272 55676 59768 83514 86208 89652 108209 111352 119536 167028 179304 216418 222704 239072 324627 334056 358608 432836 445408 478144 649254 668112 717216 865672 890816 1298508 1336224 1434432 1731344 2597016 2672448 3354479 3462688 5194032 6708958 6925376 10063437 10388064 13417916 20126874 20776128 26835832 40253748 53671664 80507496 107343328 161014992 214686656 322029984 644059968