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84143834148 = 2231135268209
BaseRepresentation
bin100111001011101011…
…1010000010000100100
322001012010110122210210
41032113113100100210
52334311310143043
6102353302215420
76036106534503
oct1162727202044
9261163418723
1084143834148
113275a001000
1214383724570
137c1c7a6a9a
14410325083a
1522c71a6633
hex13975d0424

84143834148 has 48 divisors (see below), whose sum is σ = 215954464320. Its totient is φ = 25498126720.

The previous prime is 84143834147. The next prime is 84143834191.

84143834148 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×841438341483 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 84143834097 and 84143834106.

It is not an unprimeable number, because it can be changed into a prime (84143834147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2618133 + ... + 2650076.

It is an arithmetic number, because the mean of its divisors is an integer number (4499051340).

Almost surely, 284143834148 is an apocalyptic number.

It is an amenable number.

84143834148 is an abundant number, since it is smaller than the sum of its proper divisors (131810630172).

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

84143834148 is a wasteful number, since it uses less digits than its factorization.

84143834148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268249 (or 5268225 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 84143834148 in words is "eighty-four billion, one hundred forty-three million, eight hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 15972 5268209 10536418 15804627 21072836 31609254 57950299 63218508 115900598 173850897 231801196 347701794 637453289 695403588 1274906578 1912359867 2549813156 3824719734 7011986179 7649439468 14023972358 21035958537 28047944716 42071917074 84143834148