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680741334800 = 245211315060649
BaseRepresentation
bin10011110011111110101…
…10000110111100010000
32102002010000220211122122
421321333112012330100
542123124240203200
61240421145153412
7100116255605402
oct11717726067420
92362100824578
10680741334800
1124277881146a
12abb22a8b868
134c269544967
1424d3b676b72
1512a93476385
hex9e7f586f10

680741334800 has 60 divisors (see below), whose sum is σ = 1649954450100. Its totient is φ = 269886812160.

The previous prime is 680741334781. The next prime is 680741334803. The reversal of 680741334800 is 8433147086.

It can be written as a sum of positive squares in 6 ways, for example, as 16555454224 + 664185880576 = 128668^2 + 814976^2 .

It is not an unprimeable number, because it can be changed into a prime (680741334803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7485125 + ... + 7575524.

It is an arithmetic number, because the mean of its divisors is an integer number (27499240835).

Almost surely, 2680741334800 is an apocalyptic number.

It is an amenable number.

680741334800 is an abundant number, since it is smaller than the sum of its proper divisors (969213115300).

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

680741334800 is a wasteful number, since it uses less digits than its factorization.

680741334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060780 (or 15060769 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 680741334800 in words is "six hundred eighty billion, seven hundred forty-one million, three hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 400 452 565 904 1130 1808 2260 2825 4520 5650 9040 11300 22600 45200 15060649 30121298 60242596 75303245 120485192 150606490 240970384 301212980 376516225 602425960 753032450 1204851920 1506064900 1701853337 3012129800 3403706674 6024259600 6807413348 8509266685 13614826696 17018533370 27229653392 34037066740 42546333425 68074133480 85092666850 136148266960 170185333700 340370667400 680741334800