Search a number
-
+
82754454048 = 2537123146509
BaseRepresentation
bin100110100010010001…
…1001100001000100000
321220121022002211121120
41031010203030020200
52323440120012143
6102003351052240
75656506152610
oct1150443141040
9256538084546
1082754454048
1132106806192
1214056371080
137a5a9a6096
144010904a40
15224520d383
hex13448cc220

82754454048 has 48 divisors (see below), whose sum is σ = 248263364160. Its totient is φ = 23644129536.

The previous prime is 82754454017. The next prime is 82754454109. The reversal of 82754454048 is 84045445728.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61572583 + ... + 61573926.

It is an arithmetic number, because the mean of its divisors is an integer number (5172153420).

Almost surely, 282754454048 is an apocalyptic number.

It is an amenable number.

82754454048 is an abundant number, since it is smaller than the sum of its proper divisors (165508910112).

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

82754454048 is a wasteful number, since it uses less digits than its factorization.

82754454048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123146529 (or 123146521 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 51.

The spelling of 82754454048 in words is "eighty-two billion, seven hundred fifty-four million, four hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 123146509 246293018 369439527 492586036 738879054 862025563 985172072 1477758108 1724051126 1970344144 2586076689 2955516216 3448102252 3940688288 5172153378 5911032432 6896204504 10344306756 11822064864 13792409008 20688613512 27584818016 41377227024 82754454048