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84222801383680 = 285792666931231
BaseRepresentation
bin10011001001100110100110…
…001010001001000100000000
3102001012121202211122201021101
4103021212212022021010000
542014401244123234210
6455043230521304144
723511616350464641
oct2311464612110400
9361177684581241
1084222801383680
1124921764773a53
129542b39935054
1337cc239b4770b
1416b25963616c8
159b0c659e3a3a
hex4c99a6289100

84222801383680 has 144 divisors (see below), whose sum is σ = 204307800883200. Its totient is φ = 33260363735040.

The previous prime is 84222801383663. The next prime is 84222801383701. The reversal of 84222801383680 is 8638310822248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2696753665 + ... + 2696784895.

It is an arithmetic number, because the mean of its divisors is an integer number (1418804172800).

Almost surely, 284222801383680 is an apocalyptic number.

84222801383680 is a gapful number since it is divisible by the number (80) 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 84222801383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102153900441600).

84222801383680 is an abundant number, since it is smaller than the sum of its proper divisors (120084999499520).

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

84222801383680 is a wasteful number, since it uses less digits than its factorization.

84222801383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58000 (or 57986 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 84222801383680 in words is "eighty-four trillion, two hundred twenty-two billion, eight hundred one million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 632 640 790 1264 1280 1580 2528 3160 5056 6320 10112 12640 20224 25280 26669 31231 50560 53338 62462 101120 106676 124924 133345 156155 213352 249848 266690 312310 426704 499696 533380 624620 853408 999392 1066760 1249240 1706816 1998784 2106851 2133520 2467249 2498480 3413632 3997568 4213702 4267040 4934498 4996960 6827264 7995136 8427404 8534080 9868996 9993920 10534255 12336245 16854808 17068160 19737992 19987840 21068510 24672490 33709616 34136320 39475984 39975680 42137020 49344980 67419232 78951968 84274040 98689960 134838464 157903936 168548080 197379920 269676928 315807872 337096160 394759840 539353856 631615744 674192320 789519680 832899539 1348384640 1579039360 1665799078 2696769280 3158078720 3331598156 4164497695 6663196312 8328995390 13326392624 16657990780 26652785248 33315981560 53305570496 65799063581 66631963120 106611140992 131598127162 133263926240 213222281984 263196254324 266527852480 328995317905 526392508648 533055704960 657990635810 1052785017296 1066111409920 1315981271620 2105570034592 2631962543240 4211140069184 5263925086480 8422280138368 10527850172960 16844560276736 21055700345920 42111400691840 84222801383680