Search a number
-
+
84642024648 = 23310143181017
BaseRepresentation
bin100111011010100001…
…1101100110011001000
322002110211220100200210
41032311003230303020
52341321324242043
6102514540201120
76054336224106
oct1166503546310
9262424810623
1084642024648
1132995241995
12144a25391a0
137c9ba7736c
14414d494c76
152305cb3633
hex13b50eccc8

84642024648 has 64 divisors (see below), whose sum is σ = 214198629120. Its totient is φ = 27869504000.

The previous prime is 84642024637. The next prime is 84642024653.

84642024648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84642024597 and 84642024606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004236 + ... + 1085252.

It is an arithmetic number, because the mean of its divisors is an integer number (3346853580).

Almost surely, 284642024648 is an apocalyptic number.

It is an amenable number.

84642024648 is an abundant number, since it is smaller than the sum of its proper divisors (129556604472).

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

84642024648 is a wasteful number, since it uses less digits than its factorization.

84642024648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81558 (or 81554 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 84642024648 in words is "eighty-four billion, six hundred forty-two million, twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 431 606 808 862 1212 1293 1724 2424 2586 3448 5172 10344 43531 81017 87062 130593 162034 174124 243051 261186 324068 348248 486102 522372 648136 972204 1044744 1944408 8182717 16365434 24548151 32730868 34918327 49096302 65461736 69836654 98192604 104754981 139673308 196385208 209509962 279346616 419019924 838039848 3526751027 7053502054 10580253081 14107004108 21160506162 28214008216 42321012324 84642024648