Search a number
-
+
84385458348 = 22347571726171
BaseRepresentation
bin100111010010111000…
…0111110100010101100
322001210222010102220020
41032211300332202230
52340310134131343
6102433253122140
76045102363312
oct1164560764254
9261728112806
1084385458348
1132873433924
1214430629350
137c5a875c99
14412738a0b2
1522dd4d3b83
hex13a5c3e8ac

84385458348 has 48 divisors (see below), whose sum is σ = 201131610624. Its totient is φ = 27524140480.

The previous prime is 84385458337. The next prime is 84385458349.

84385458348 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84385458291 and 84385458300.

It is not an unprimeable number, because it can be changed into a prime (84385458349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3211303 + ... + 3237473.

It is an arithmetic number, because the mean of its divisors is an integer number (4190241888).

Almost surely, 284385458348 is an apocalyptic number.

It is an amenable number.

84385458348 is an abundant number, since it is smaller than the sum of its proper divisors (116746152276).

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

84385458348 is a wasteful number, since it uses less digits than its factorization.

84385458348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31942 (or 31940 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 84385458348 in words is "eighty-four billion, three hundred eighty-five million, four hundred fifty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 5717 11434 17151 22868 26171 34302 52342 68604 78513 104684 157026 268699 314052 537398 806097 1074796 1230037 1612194 2460074 3224388 3690111 4920148 7380222 14760444 149619607 299239214 448858821 598478428 897717642 1795435284 7032121529 14064243058 21096364587 28128486116 42192729174 84385458348