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1685861398100 = 2252116189282299
BaseRepresentation
bin11000100010000101001…
…010110111011001010100
312222011111120122102120202
4120202011022313121110
5210110121004214400
63330250220320032
7232541134305605
oct30420512673124
95864446572522
101685861398100
1159aa73899730
122328936a3018
13c2c8c4b8a49
145b84bab5dac
152dcbe45d4d5
hex188852b7654

1685861398100 has 144 divisors (see below), whose sum is σ = 4101909336000. Its totient is φ = 596213376000.

The previous prime is 1685861398087. The next prime is 1685861398159. The reversal of 1685861398100 is 18931685861.

It is a super-2 number, since 2×16858613981002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5830751 + ... + 6113049.

It is an arithmetic number, because the mean of its divisors is an integer number (28485481500).

Almost surely, 21685861398100 is an apocalyptic number.

1685861398100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685861398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050954668000).

1685861398100 is an abundant number, since it is smaller than the sum of its proper divisors (2416047937900).

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

1685861398100 is a wasteful number, since it uses less digits than its factorization.

1685861398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282474 (or 282467 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 56.

The spelling of 1685861398100 in words is "one trillion, six hundred eighty-five billion, eight hundred sixty-one million, three hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 89 100 110 122 178 220 244 275 305 356 445 550 610 671 890 979 1100 1220 1342 1525 1780 1958 2225 2684 3050 3355 3916 4450 4895 5429 6100 6710 8900 9790 10858 13420 16775 19580 21716 24475 27145 33550 48950 54290 59719 67100 97900 108580 119438 135725 238876 271450 282299 298595 542900 564598 597190 1129196 1194380 1411495 1492975 2822990 2985950 3105289 5645980 5971900 6210578 7057475 12421156 14114950 15526445 17220239 25124611 28229900 31052890 34440478 50249222 62105780 68880956 77632225 86101195 100498444 125623055 155264450 172202390 189422629 251246110 276370721 310528900 344404780 378845258 430505975 502492220 552741442 628115275 757690516 861011950 947113145 1105482884 1256230550 1381853605 1532601271 1722023900 1894226290 2512461100 2763707210 3065202542 3788452580 4735565725 5527414420 6130405084 6909268025 7663006355 9471131450 13818536050 15326012710 16858613981 18942262900 27637072100 30652025420 33717227962 38315031775 67434455924 76630063550 84293069905 153260127100 168586139810 337172279620 421465349525 842930699050 1685861398100