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84210613146 = 233111912775843
BaseRepresentation
bin100111001101101010…
…1111111101110011010
322001100210010101101000
41032123111333232122
52334430404110041
6102404045405430
76040550254452
oct1163325775632
9261323111330
1084210613146
1132793772060
12143a1b69876
137c3058849a
14410c074d62
1522cce97bb6
hex139b57fb9a

84210613146 has 128 divisors (see below), whose sum is σ = 215096601600. Its totient is φ = 24152230080.

The previous prime is 84210613117. The next prime is 84210613189. The reversal of 84210613146 is 64131601248.

84210613146 is a `hidden beast` number, since 8 + 4 + 21 + 0 + 613 + 14 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84210613146.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14409301 + ... + 14415143.

It is an arithmetic number, because the mean of its divisors is an integer number (1680442200).

Almost surely, 284210613146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84210613146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107548300800).

84210613146 is an abundant number, since it is smaller than the sum of its proper divisors (130885988454).

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

84210613146 is a wasteful number, since it uses less digits than its factorization.

84210613146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 84210613146 in words is "eighty-four billion, two hundred ten million, six hundred thirteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1277 1881 2554 3762 3831 5643 5843 7662 11286 11493 11686 14047 17529 22986 24263 28094 34479 35058 42141 48526 52587 64273 68958 72789 84282 105174 111017 126423 128546 145578 157761 192819 218367 222034 252846 266893 315522 333051 379269 385638 436734 533786 578457 655101 666102 758538 800679 999153 1156914 1221187 1310202 1601358 1735371 1998306 2402037 2442374 2997459 3470742 3663561 4804074 5994918 7206111 7327122 7461511 10990683 14412222 14923022 21981366 22384533 32972049 44769066 65944098 67153599 82076621 134307198 141768709 164153242 201460797 246229863 283537418 402921594 425306127 492459726 738689589 850612254 1275918381 1477379178 1559455799 2216068767 2551836762 3118911598 3827755143 4432137534 4678367397 7655510286 9356734794 14035102191 28070204382 42105306573 84210613146