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968358338704 = 243726121092
BaseRepresentation
bin11100001011101101010…
…01111010000010010000
310102120111120001111011201
432011312221322002100
5111331144213314304
62020505131520544
7126650552032441
oct16056651720220
93376446044151
10968358338704
11343751045499
121378112b9154
1370414a71c33
1434c23d812c8
151a2c895e3a4
hexe176a7a090

968358338704 has 135 divisors (see below), whose sum is σ = 1978552304001. Its totient is φ = 459119301120.

The previous prime is 968358338699. The next prime is 968358338719. The reversal of 968358338704 is 407833853869.

The square root of 968358338704 is 984052.

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

It can be written as a sum of positive squares in 13 ways, for example, as 432464064400 + 535894274304 = 657620^2 + 732048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8884021402 + ... + 8884021510.

Almost surely, 2968358338704 is an apocalyptic number.

968358338704 is the 984052-nd square number.

It is an amenable number.

968358338704 is an abundant number, since it is smaller than the sum of its proper divisors (1010193965297).

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

968358338704 is an equidigital number, since it uses as much as digits as its factorization.

968358338704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

Multiplying 968358338704 by its sum of digits (64), we get a square (61974933677056 = 78724162).

The spelling of 968358338704 in words is "nine hundred sixty-eight billion, three hundred fifty-eight million, three hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 37 61 74 109 122 148 218 244 296 436 488 592 872 976 1369 1744 2257 2738 3721 4033 4514 5476 6649 7442 8066 9028 10952 11881 13298 14884 16132 18056 21904 23762 26596 29768 32264 36112 47524 53192 59536 64528 83509 95048 106384 137677 149221 167018 190096 246013 275354 298442 334036 405589 439597 492026 550708 596884 668072 724741 811178 879194 984052 1101416 1193768 1336144 1449482 1622356 1758388 1968104 2202832 2387536 2898964 3244712 3516776 3936208 5094049 5797928 6489424 7033552 9102481 10188098 11595856 15006793 16265089 18204962 20376196 26815417 30013586 32530178 36409924 40752392 44209201 53630834 60027172 65060356 72819848 81504784 88418402 107261668 120054344 130120712 145639696 176836804 214523336 240108688 260241424 353673608 429046672 555251341 707347216 992170429 1110502682 1635740437 1984340858 2221005364 3271480874 3968681716 4442010728 6542961748 7937363432 8884021456 13085923496 15874726864 26171846992 60522396169 121044792338 242089584676 484179169352 968358338704