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84071960192 = 2711672693313
BaseRepresentation
bin100111001001100010…
…1000100111010000000
322001000010020002021102
41032103011010322000
52334134410211232
6102342213513532
76034244604443
oct1162305047200
9261003202242
1084071960192
1132722480040
12143636428a8
137c0a93030c
1440d78a165a
1522c0c0a662
hex1393144e80

84071960192 has 128 divisors (see below), whose sum is σ = 186185822400. Its totient is φ = 37492899840.

The previous prime is 84071960179. The next prime is 84071960233. The reversal of 84071960192 is 29106917048.

It is a tau number, because it is divible by the number of its divisors (128).

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, 25374728 + ... + 25378040.

Almost surely, 284071960192 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 84071960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93092911200).

84071960192 is an abundant number, since it is smaller than the sum of its proper divisors (102113862208).

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

84071960192 is a wasteful number, since it uses less digits than its factorization.

84071960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 84071960192 in words is "eighty-four billion, seventy-one million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 269 352 536 538 704 737 1072 1076 1408 1474 2144 2152 2948 2959 3313 4288 4304 5896 5918 6626 8576 8608 11792 11836 13252 17216 18023 23584 23672 26504 34432 36046 36443 47168 47344 53008 72092 72886 94336 94688 106016 144184 145772 189376 198253 212032 221971 288368 291544 378752 396506 424064 443942 576736 583088 793012 887884 891197 1153472 1166176 1586024 1775768 1782394 2306944 2332352 2441681 3172048 3551536 3564788 4664704 4883362 6344096 7103072 7129576 9766724 9803167 12688192 14206144 14259152 19533448 19606334 25376384 28412288 28518304 39066896 39212668 57036608 59710199 78133792 78425336 114073216 119420398 156267584 156850672 238840796 312535168 313701344 477681592 627402688 656812189 955363184 1254805376 1313624378 1910726368 2627248756 3821452736 5254497512 7642905472 10508995024 21017990048 42035980096 84071960192