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84443430200 = 23521721917649
BaseRepresentation
bin100111010100100111…
…0000111110100111000
322001222000012201022212
41032221032013310320
52340420004231300
6102443123434252
76046405212413
oct1165116076470
9261860181285
1084443430200
11328a3129a48
1214447b25988
137c69892a5c
144130d5ab7a
1522e3635935
hex13a9387d38

84443430200 has 144 divisors (see below), whose sum is σ = 209678544000. Its totient is φ = 31619891200.

The previous prime is 84443430191. The next prime is 84443430233. The reversal of 84443430200 is 203434448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11035976 + ... + 11043624.

It is an arithmetic number, because the mean of its divisors is an integer number (1456101000).

Almost surely, 284443430200 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 84443430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104839272000).

84443430200 is an abundant number, since it is smaller than the sum of its proper divisors (125235113800).

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

84443430200 is a wasteful number, since it uses less digits than its factorization.

84443430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 84443430200 its reverse (203434448), we get a palindrome (84646864648).

The spelling of 84443430200 in words is "eighty-four billion, four hundred forty-three million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 191 200 289 340 382 425 578 680 764 850 955 1156 1445 1528 1700 1910 2312 2890 3247 3400 3820 4775 5780 6494 7225 7640 7649 9550 11560 12988 14450 15298 16235 19100 25976 28900 30596 32470 38200 38245 55199 57800 61192 64940 76490 81175 110398 129880 130033 152980 162350 191225 220796 260066 275995 305960 324700 382450 441592 520132 551990 649400 650165 764900 1040264 1103980 1300330 1379975 1460959 1529800 2207960 2210561 2600660 2759950 2921918 3250825 4421122 5201320 5519900 5843836 6501650 7304795 8842244 11039800 11052805 11687672 13003300 14609590 17684488 22105610 24836303 26006600 29219180 36523975 44211220 49672606 55264025 58438360 73047950 88422440 99345212 110528050 124181515 146095900 198690424 221056100 248363030 292191800 422217151 442112200 496726060 620907575 844434302 993452120 1241815150 1688868604 2111085755 2483630300 3377737208 4222171510 4967260600 8444343020 10555428775 16888686040 21110857550 42221715100 84443430200