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84204146088 = 233217467147311
BaseRepresentation
bin100111001101011110…
…1010100110110101000
322001100022221211020100
41032122331110312220
52334422230133323
6102403255025400
76040441301166
oct1163275246650
9261308854210
1084204146088
1132790055287
121439b96b260
137c2c132a1a
14410b270236
1522cc61b943
hex139af54da8

84204146088 has 96 divisors (see below), whose sum is σ = 241986476160. Its totient is φ = 26360240640.

The previous prime is 84204146023. The next prime is 84204146129. The reversal of 84204146088 is 88064140248.

84204146088 is a `hidden beast` number, since 8 + 4 + 20 + 4 + 14 + 608 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497953 + ... + 645263.

It is an arithmetic number, because the mean of its divisors is an integer number (2520692460).

Almost surely, 284204146088 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 84204146088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120993238080).

84204146088 is an abundant number, since it is smaller than the sum of its proper divisors (157782330072).

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

84204146088 is a wasteful number, since it uses less digits than its factorization.

84204146088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147807 (or 147800 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 84204146088 in words is "eighty-four billion, two hundred four million, one hundred forty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 467 612 934 1224 1401 1868 2802 3736 4203 5604 7939 8406 11208 15878 16812 23817 31756 33624 47634 63512 71451 95268 142902 147311 190536 285804 294622 441933 571608 589244 883866 1178488 1325799 1767732 2504287 2651598 3535464 5008574 5303196 7512861 10017148 10606392 15025722 20034296 22538583 30051444 45077166 60102888 68794237 90154332 137588474 180308664 206382711 275176948 412765422 550353896 619148133 825530844 1169502029 1238296266 1651061688 2339004058 2476592532 3508506087 4678008116 4953185064 7017012174 9356016232 10525518261 14034024348 21051036522 28068048696 42102073044 84204146088