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688760286368 = 25711733829169
BaseRepresentation
bin10100000010111010100…
…11111110110010100000
32102211210212222210012212
422001131103332302200
542241040113130433
61244225003141252
7100522056560060
oct12013523766240
92384725883185
10688760286368
11246113253470
12b15a0514828
134cc46991c0b
142549c6753a0
1512db2466d48
hexa05d4feca0

688760286368 has 96 divisors (see below), whose sum is σ = 1713752691840. Its totient is φ = 264672092160.

The previous prime is 688760286367. The next prime is 688760286377. The reversal of 688760286368 is 863682067886.

It is a junction number, because it is equal to n+sod(n) for n = 688760286298 and 688760286307.

It is not an unprimeable number, because it can be changed into a prime (688760286367) 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 15 ways as a sum of consecutive naturals, for example, 1734713 + ... + 2094456.

It is an arithmetic number, because the mean of its divisors is an integer number (17851590540).

Almost surely, 2688760286368 is an apocalyptic number.

It is an amenable number.

688760286368 is an abundant number, since it is smaller than the sum of its proper divisors (1024992405472).

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

688760286368 is a wasteful number, since it uses less digits than its factorization.

688760286368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829270 (or 3829262 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 68.

The spelling of 688760286368 in words is "six hundred eighty-eight billion, seven hundred sixty million, two hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 73 77 88 112 146 154 176 224 292 308 352 511 584 616 803 1022 1168 1232 1606 2044 2336 2464 3212 4088 5621 6424 8176 11242 12848 16352 22484 25696 44968 89936 179872 3829169 7658338 15316676 26804183 30633352 42120859 53608366 61266704 84241718 107216732 122533408 168483436 214433464 279529337 294846013 336966872 428866928 559058674 589692026 673933744 857733856 1118117348 1179384052 1347867488 1956705359 2236234696 2358768104 3074822707 3913410718 4472469392 4717536208 6149645414 7826821436 8944938784 9435072416 12299290828 15653642872 21523758949 24598581656 31307285744 43047517898 49197163312 62614571488 86095035796 98394326624 172190071592 344380143184 688760286368