Search a number
-
+
286486006944 = 2534172786079
BaseRepresentation
bin1000010101100111110…
…01011000110010100000
31000101110200222001100210
410022303321120302200
514143210404210234
6335335421214120
726461250610564
oct4126371306240
91011420861323
10286486006944
111005529782a5
1247633701340
1321028115907
14dc1a41b6a4
1576bb07cbe9
hex42b3e58ca0

286486006944 has 48 divisors (see below), whose sum is σ = 770367870720. Its totient is φ = 93166179840.

The previous prime is 286486006943. The next prime is 286486006951. The reversal of 286486006944 is 449600684682.

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

It is not an unprimeable number, because it can be changed into a prime (286486006943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36389104 + ... + 36396975.

It is an arithmetic number, because the mean of its divisors is an integer number (16049330640).

Almost surely, 2286486006944 is an apocalyptic number.

286486006944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

286486006944 is an abundant number, since it is smaller than the sum of its proper divisors (483881863776).

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

286486006944 is a wasteful number, since it uses less digits than its factorization.

286486006944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72786133 (or 72786125 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 286486006944 in words is "two hundred eighty-six billion, four hundred eighty-six million, six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 72786079 145572158 218358237 291144316 436716474 582288632 873432948 1164577264 1746865896 2329154528 2984229239 3493731792 5968458478 6987463584 8952687717 11936916956 17905375434 23873833912 35810750868 47747667824 71621501736 95495335648 143243003472 286486006944