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84873014016 = 283735714421
BaseRepresentation
bin100111100001011010…
…0110110101100000000
322010001221112211112120
41033002310312230000
52342304442422031
6102553511124240
76063142500360
oct1170264665400
9263057484476
1084873014016
1132aa367069a
1214547973680
138007891a6b
1441720229a0
15231b1dea96
hex13c2d36b00

84873014016 has 144 divisors (see below), whose sum is σ = 258286119168. Its totient is φ = 24237158400.

The previous prime is 84873013949. The next prime is 84873014021. The reversal of 84873014016 is 61041037848.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19195486 + ... + 19199906.

Almost surely, 284873014016 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 84873014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129143059584).

84873014016 is an abundant number, since it is smaller than the sum of its proper divisors (173413105152).

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

84873014016 is a wasteful number, since it uses less digits than its factorization.

84873014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 84873014016 in words is "eighty-four billion, eight hundred seventy-three million, fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3571 4421 5376 7142 8842 10713 13263 14284 17684 21426 24997 26526 28568 30947 35368 42852 49994 53052 57136 61894 70736 74991 85704 92841 99988 106104 114272 123788 141472 149982 171408 185682 199976 212208 228544 247576 282944 299964 342816 371364 399952 424416 457088 495152 565888 599928 685632 742728 799904 848832 914176 990304 1131776 1199856 1371264 1485456 1599808 1697664 1980608 2399712 2742528 2970912 3199616 3395328 3961216 4799424 5941824 6399232 7922432 9598848 11883648 15787391 19197696 23767296 31574782 47362173 63149564 94724346 110511737 126299128 189448692 221023474 252598256 331535211 378897384 442046948 505196512 663070422 757794768 884093896 1010393024 1326140844 1515589536 1768187792 2020786048 2652281688 3031179072 3536375584 4041572096 5304563376 6062358144 7072751168 10609126752 12124716288 14145502336 21218253504 28291004672 42436507008 84873014016