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82882883423000 = 23531811399327317
BaseRepresentation
bin10010110110000110101100…
…110100110000101100011000
3101212110112012122121202100002
4102312012230310300230120
541330423121124014000
6452135512045232132
723313043054651163
oct2266065464605430
9355415178552302
1082882883423000
1124455484a38111
129367311b62648
133732a8c9933cb
1416677a5482ada
1598ae923de8d5
hex4b61acd30b18

82882883423000 has 128 divisors (see below), whose sum is σ = 195157465776000. Its totient is φ = 32946319296000.

The previous prime is 82882883422993. The next prime is 82882883423003. The reversal of 82882883423000 is 32438828828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82882883423003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253055342 + ... + 253382658.

It is an arithmetic number, because the mean of its divisors is an integer number (1524667701375).

Almost surely, 282882883423000 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 82882883423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97578732888000).

82882883423000 is an abundant number, since it is smaller than the sum of its proper divisors (112274582353000).

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

82882883423000 is a wasteful number, since it uses less digits than its factorization.

82882883423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328918 (or 328904 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 82882883423000 in words is "eighty-two trillion, eight hundred eighty-two billion, eight hundred eighty-three million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1399 1448 1810 2798 3620 4525 5596 6995 7240 9050 11192 13990 18100 22625 27980 34975 36200 45250 55960 69950 90500 139900 174875 181000 253219 279800 327317 349750 506438 654634 699500 1012876 1266095 1309268 1399000 1636585 2025752 2532190 2618536 3273170 5064380 6330475 6546340 8182925 10128760 12660950 13092680 16365850 25321900 31652375 32731700 40914625 50643800 59244377 63304750 65463400 81829250 118488754 126609500 163658500 236977508 253219000 296221885 327317000 457916483 473955016 592443770 915832966 1184887540 1481109425 1831665932 2289582415 2369775080 2962218850 3663331864 4579164830 5924437700 7405547125 9158329660 11447912075 11848875400 14811094250 18316659320 22895824150 29622188500 45791648300 57239560375 59244377000 82882883423 91583296600 114479120750 165765766846 228958241500 331531533692 414414417115 457916483000 663063067384 828828834230 1657657668460 2072072085575 3315315336920 4144144171150 8288288342300 10360360427875 16576576684600 20720720855750 41441441711500 82882883423000