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680104080500 = 225313228372
BaseRepresentation
bin10011110010110010101…
…11001011010001110100
32102000110121210222002112
421321121113023101310
542120323121034000
61240234022430152
7100064420205215
oct11713127132164
92360417728075
10680104080500
11242481028919
12ab985592358
134c197504200
1424cbab9340c
1512a5754a235
hex9e595cb474

680104080500 has 108 divisors (see below), whose sum is σ = 1608960969252. Its totient is φ = 251026838400.

The previous prime is 680104080473. The next prime is 680104080503. The reversal of 680104080500 is 5080401086.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 323310508816 + 356793571684 = 568604^2 + 597322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680104080503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239725082 + ... + 239727918.

Almost surely, 2680104080500 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 680104080500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804480484626).

680104080500 is an abundant number, since it is smaller than the sum of its proper divisors (928856888752).

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

680104080500 is an equidigital number, since it uses as much as digits as its factorization.

680104080500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 680104080500 its reverse (5080401086), we get a palindrome (685184481586).

The spelling of 680104080500 in words is "six hundred eighty billion, one hundred four million, eighty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1300 1625 1690 2837 3250 3380 4225 5674 6500 8450 11348 14185 16900 21125 28370 36881 42250 56740 70925 73762 84500 141850 147524 184405 283700 354625 368810 479453 709250 737620 922025 958906 1418500 1844050 1917812 2397265 3688100 4610125 4794530 8048569 9220250 9589060 11986325 16097138 18440500 23972650 32194276 40242845 47945300 59931625 80485690 104631397 119863250 160971380 201214225 209262794 239726500 402428450 418525588 523156985 804856900 1006071125 1046313970 1360208161 2012142250 2092627940 2615784925 2720416322 4024284500 5231569850 5440832644 6801040805 10463139700 13078924625 13602081610 26157849250 27204163220 34005204025 52315698500 68010408050 136020816100 170026020125 340052040250 680104080500