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86833212700 = 225213671039679
BaseRepresentation
bin101000011011110101…
…0011010110100011100
322022010120000020121211
41100313222122310130
52410313300301300
6103520213034204
76162544062343
oct1206752326434
9268116006554
1086833212700
113390a0a2a03
12149b4325964
13825aa11b40
1442ba4bab5a
1523d333e4ba
hex1437a9ad1c

86833212700 has 144 divisors (see below), whose sum is σ = 207972244480. Its totient is φ = 31273102080.

The previous prime is 86833212647. The next prime is 86833212703. The reversal of 86833212700 is 721233868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86833212703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8966461 + ... + 8976139.

Almost surely, 286833212700 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 86833212700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103986122240).

86833212700 is an abundant number, since it is smaller than the sum of its proper divisors (121139031780).

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

86833212700 is a wasteful number, since it uses less digits than its factorization.

86833212700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 86833212700 in words is "eighty-six billion, eight hundred thirty-three million, two hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 103 130 134 206 260 268 325 335 412 515 650 670 871 1030 1300 1339 1340 1675 1742 2060 2575 2678 3350 3484 4355 5150 5356 6695 6700 6901 8710 9679 10300 13390 13802 17420 19358 21775 26780 27604 33475 34505 38716 43550 48395 66950 69010 87100 89713 96790 125827 133900 138020 172525 179426 193580 241975 251654 345050 358852 448565 483950 503308 629135 648493 690100 897130 967900 996937 1258270 1296986 1794260 1993874 2242825 2516540 2593972 3145675 3242465 3987748 4485650 4984685 6291350 6484930 8430409 8971300 9969370 12582700 12960181 12969860 16212325 16860818 19938740 24923425 25920362 32424650 33721636 42152045 49846850 51840724 64800905 64849300 66794779 84304090 99693700 129601810 133589558 168608180 210760225 259203620 267179116 324004525 333973895 421520450 648009050 667947790 843040900 868332127 1296018100 1335895580 1669869475 1736664254 3339738950 3473328508 4341660635 6679477900 8683321270 17366642540 21708303175 43416606350 86833212700