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688783421380 = 2251917329335759
BaseRepresentation
bin10100000010111101011…
…00001110111111000100
32102211212111112011111011
422001132230032333010
542241112023441010
61244231151052004
7100522460324065
oct12013654167704
92384774464434
10688783421380
1124612531510a
12b15a8211004
134cc4b702282
14254a177856c
1512db44d6a8a
hexa05eb0efc4

688783421380 has 96 divisors (see below), whose sum is σ = 1536644390400. Its totient is φ = 258611010048.

The previous prime is 688783421357. The next prime is 688783421401. The reversal of 688783421380 is 83124387886.

688783421380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6887834213802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19243941 + ... + 19279699.

It is an arithmetic number, because the mean of its divisors is an integer number (16006712400).

Almost surely, 2688783421380 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 688783421380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768322195200).

688783421380 is an abundant number, since it is smaller than the sum of its proper divisors (847860969020).

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

688783421380 is a wasteful number, since it uses less digits than its factorization.

688783421380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36253 (or 36251 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 688783421380 in words is "six hundred eighty-eight billion, seven hundred eighty-three million, four hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 173 190 293 346 380 586 692 865 1172 1465 1730 2930 3287 3460 5567 5860 6574 11134 13148 16435 22268 27835 32870 35759 50689 55670 65740 71518 101378 111340 143036 178795 202756 253445 357590 506890 679421 715180 963091 1013780 1358842 1926182 2717684 3397105 3852364 4815455 6186307 6794210 9630910 10477387 12372614 13588420 19261820 20954774 24745228 30931535 41909548 52386935 61863070 104773870 117539833 123726140 199070353 209547740 235079666 398140706 470159332 587699165 796281412 995351765 1175398330 1812587951 1990703530 2350796660 3625175902 3981407060 7250351804 9062939755 18125879510 34439171069 36251759020 68878342138 137756684276 172195855345 344391710690 688783421380