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84212769300 = 22352113210901
BaseRepresentation
bin100111001101101111…
…0001110001000010100
322001100221011221001120
41032123132032020110
52334431432104200
6102404203523540
76040604504562
oct1163336161024
9261327157046
1084212769300
1132794a05000
12143a28295b0
137c30b61a0a
14410c476a32
1522cd2719a0
hex139b78e214

84212769300 has 144 divisors (see below), whose sum is σ = 268004138304. Its totient is φ = 20415120000.

The previous prime is 84212769257. The next prime is 84212769317. The reversal of 84212769300 is 396721248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293850 + ... + 504750.

Almost surely, 284212769300 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 84212769300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134002069152).

84212769300 is an abundant number, since it is smaller than the sum of its proper divisors (183791369004).

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

84212769300 is a wasteful number, since it uses less digits than its factorization.

84212769300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210951 (or 210922 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 84212769300 in words is "eighty-four billion, two hundred twelve million, seven hundred sixty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1331 1452 1650 1815 2420 2662 3025 3300 3630 3993 5324 6050 6655 7260 7986 9075 12100 13310 15972 18150 19965 26620 33275 36300 39930 66550 79860 99825 133100 199650 210901 399300 421802 632703 843604 1054505 1265406 2109010 2319911 2530812 3163515 4218020 4639822 5272525 6327030 6959733 9279644 10545050 11599555 12654060 13919466 15817575 21090100 23199110 25519021 27838932 31635150 34798665 46398220 51038042 57997775 63270300 69597330 76557063 102076084 115995550 127595105 139194660 153114126 173993325 231991100 255190210 280709231 306228252 347986650 382785315 510380420 561418462 637975525 695973300 765570630 842127693 1122836924 1275951050 1403546155 1531141260 1684255386 1913926575 2551902100 2807092310 3368510772 3827853150 4210638465 5614184620 7017730775 7655706300 8421276930 14035461550 16842553860 21053192325 28070923100 42106384650 84212769300