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83342489142 = 231121793072089
BaseRepresentation
bin100110110011110011…
…0010111011000110110
321222010021121010010010
41031213212113120312
52331141134123032
6102141554441050
76010206316623
oct1154746273066
9258107533103
1083342489142
1132388731700
121419b293186
137b22772943
144068a5534a
15227bb65ccc
hex1367997636

83342489142 has 96 divisors (see below), whose sum is σ = 184927881600. Its totient is φ = 25020420480.

The previous prime is 83342489129. The next prime is 83342489149. The reversal of 83342489142 is 24198424338.

It is a junction number, because it is equal to n+sod(n) for n = 83342489091 and 83342489100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83342489149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39894834 + ... + 39896922.

It is an arithmetic number, because the mean of its divisors is an integer number (1926332100).

Almost surely, 283342489142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83342489142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92463940800).

83342489142 is an abundant number, since it is smaller than the sum of its proper divisors (101585392458).

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

83342489142 is a wasteful number, since it uses less digits than its factorization.

83342489142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2591 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 83342489142 in words is "eighty-three billion, three hundred forty-two million, four hundred eighty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 179 242 307 358 363 537 614 726 921 1074 1842 1969 2089 3377 3938 4178 5907 6267 6754 10131 11814 12534 20262 21659 22979 37147 43318 45958 54953 64977 68937 74294 109906 111441 129954 137874 164859 222882 252769 329718 373931 505538 604483 641323 747862 758307 1121793 1208966 1282646 1516614 1813449 1923969 2243586 3626898 3847938 4113241 6649313 7054553 8226482 12339723 13298626 14109106 19947939 21163659 24679446 39895878 42327318 45245651 77600083 90491302 114796817 135736953 155200166 229593634 232800249 271473906 344390451 465600498 688780902 1262764987 2525529974 3788294961 7576589922 13890414857 27780829714 41671244571 83342489142