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680310898288 = 247193167715233
BaseRepresentation
bin10011110011001011011…
…00000111111001110000
32102001000000222101202121
421321211230013321300
542121234042221123
61240310331324024
7100102511136430
oct11714554077160
92361000871677
10680310898288
1124257784810a
12aba228b0614
134c1cb3077b8
1424cda42c2c0
1512a6a79e75d
hex9e65b07e70

680310898288 has 160 divisors (see below), whose sum is σ = 1639363645440. Its totient is φ = 266893885440.

The previous prime is 680310898277. The next prime is 680310898303. The reversal of 680310898288 is 882898013086.

It is a congruent number.

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, 44652720 + ... + 44667952.

It is an arithmetic number, because the mean of its divisors is an integer number (10246022784).

Almost surely, 2680310898288 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 680310898288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819681822720).

680310898288 is an abundant number, since it is smaller than the sum of its proper divisors (959052747152).

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

680310898288 is a wasteful number, since it uses less digits than its factorization.

680310898288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 61.

The spelling of 680310898288 in words is "six hundred eighty billion, three hundred ten million, eight hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 677 868 1064 1178 1354 1736 2128 2356 2708 3472 4123 4712 4739 5416 8246 9424 9478 10832 12863 15233 16492 18956 20987 25726 30466 32984 37912 41974 51452 60932 65968 75824 83948 90041 102904 106631 121864 146909 167896 180082 205808 213262 243728 289427 293818 335792 360164 398753 426524 472223 578854 587636 720328 797506 853048 944446 1157708 1175272 1440656 1595012 1706096 1888892 2025989 2315416 2350544 2791271 3190024 3305561 3777784 4051978 4630832 5582542 6380048 6611122 7555568 8103956 8972237 10312741 11165084 13222244 16207912 17944474 20625482 22330168 26444488 32415824 35888948 41250964 44660336 52888976 62805659 71777896 72189187 82501928 125611318 143555792 144378374 165003856 195942079 251222636 288756748 319694971 391884158 502445272 577513496 639389942 783768316 1004890544 1155026992 1278779884 1371594553 1567536632 2237864797 2557559768 2743189106 3135073264 4475729594 5115119536 5486378212 6074204449 8951459188 10972756424 12148408898 17902918376 21945512848 24296817796 35805836752 42519431143 48593635592 85038862286 97187271184 170077724572 340155449144 680310898288