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84491222219448 = 233111015180361169
BaseRepresentation
bin10011001101100000100101…
…010010010111101010111000
3102002011021121112210222120020
4103031200211102113222320
542033301010342010243
6455410422011330440
723540201152111152
oct2315404522275270
9362137545728506
1084491222219448
1124a15587296810
129586b6b450a20
13381b646392115
1416c157b429ad2
159b7c25ae3283
hex4cd825497ab8

84491222219448 has 128 divisors (see below), whose sum is σ = 232720393939200. Its totient is φ = 25348997888000.

The previous prime is 84491222219413. The next prime is 84491222219507.

84491222219448 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×844912222194482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84491222219391 and 84491222219400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1381244608 + ... + 1381305776.

It is an arithmetic number, because the mean of its divisors is an integer number (1818128077650).

Almost surely, 284491222219448 is an apocalyptic number.

84491222219448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84491222219448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116360196969600).

84491222219448 is an abundant number, since it is smaller than the sum of its proper divisors (148229171719752).

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

84491222219448 is a wasteful number, since it uses less digits than its factorization.

84491222219448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113093 (or 113089 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 60.

The spelling of 84491222219448 in words is "eighty-four trillion, four hundred ninety-one billion, two hundred twenty-two million, two hundred nineteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 51803 61169 103606 122338 155409 183507 207212 244676 310818 367014 414424 489352 569833 621636 672859 734028 1139666 1243272 1345718 1468056 1709499 2018577 2279332 2691436 3418998 4037154 4558664 5232103 5382872 6178069 6837996 8074308 10464206 12356138 13675992 15696309 16148616 18534207 20928412 24712276 31392618 37068414 41856824 49424552 57553133 62785236 67958759 74136828 115106266 125570472 135917518 148273656 172659399 203876277 230212532 271835036 345318798 407752554 460425064 543670072 690637596 815505108 1381275192 1631010216 3168737707 6337475414 9506213121 12674950828 19012426242 25349901656 34856114777 38024852484 69712229554 76049704968 104568344331 139424459108 209136688662 278848918216 320042508407 418273377324 640085016814 836546754648 960127525221 1280170033628 1920255050442 2560340067256 3520467592477 3840510100884 7040935184954 7681020201768 10561402777431 14081870369908 21122805554862 28163740739816 42245611109724 84491222219448