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84828934242 = 23213511370901
BaseRepresentation
bin100111100000000110…
…0101101000001100010
322002221212121100110100
41033000030231001202
52342212201343432
6102545254243230
76062066021043
oct1170014550142
9262855540410
1084828934242
1132a807a3928
1214535056516
137ccb6ca260
14416a22a8ca
1523173d407c
hex13c032d062

84828934242 has 48 divisors (see below), whose sum is σ = 197975684088. Its totient is φ = 26095737600.

The previous prime is 84828934217. The next prime is 84828934247. The reversal of 84828934242 is 24243982848.

84828934242 is a `hidden beast` number, since 8 + 482 + 89 + 3 + 42 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54872594001 + 29956340241 = 234249^2 + 173079^2 .

It is a super-2 number, since 2×848289342422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84828934247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160992 + ... + 1231892.

Almost surely, 284828934242 is an apocalyptic number.

84828934242 is an abundant number, since it is smaller than the sum of its proper divisors (113146749846).

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

84828934242 is a wasteful number, since it uses less digits than its factorization.

84828934242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76035 (or 76032 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 84828934242 in words is "eighty-four billion, eight hundred twenty-eight million, nine hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 5113 10226 15339 30678 46017 66469 70901 92034 132938 141802 199407 212703 398814 425406 598221 638109 921713 1196442 1276218 1843426 2765139 5530278 8295417 16590834 362516813 725033626 1087550439 2175100878 3262651317 4712718569 6525302634 9425437138 14138155707 28276311414 42414467121 84828934242