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680109317688 = 233312191154387
BaseRepresentation
bin10011110010110011010…
…11001001111000111000
32102000110222200001011110
421321121223021320320
542120330441131223
61240234331000320
7100064512550043
oct11713153117070
92360428601143
10680109317688
11242483a85679
12ab9872990a0
134c198618c38
1424cbb757c5a
1512a57c31d93
hex9e59ac9e38

680109317688 has 96 divisors (see below), whose sum is σ = 1766099911680. Its totient is φ = 218240049600.

The previous prime is 680109317683. The next prime is 680109317729. The reversal of 680109317688 is 886713901086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680109317683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4328031 + ... + 4482417.

It is an arithmetic number, because the mean of its divisors is an integer number (18396874080).

Almost surely, 2680109317688 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 680109317688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883049955840).

680109317688 is an abundant number, since it is smaller than the sum of its proper divisors (1085990593992).

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

680109317688 is a wasteful number, since it uses less digits than its factorization.

680109317688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154649 (or 154614 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 680109317688 in words is "six hundred eighty billion, one hundred nine million, three hundred seventeen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 191 248 372 382 573 744 764 961 1146 1528 1922 2292 2883 3844 4584 5766 5921 7688 11532 11842 17763 23064 23684 35526 47368 71052 142104 154387 183551 308774 367102 463161 550653 617548 734204 926322 1101306 1235096 1468408 1852644 2202612 3705288 4405224 4785997 9571994 14357991 19143988 28715982 29487917 38287976 57431964 58975834 88463751 114863928 117951668 148365907 176927502 235903336 296731814 353855004 445097721 593463628 707710008 890195442 914125427 1186927256 1780390884 1828250854 2742376281 3560781768 3656501708 5484752562 7313003416 10969505124 21939010248 28337888237 56675776474 85013664711 113351552948 170027329422 226703105896 340054658844 680109317688