Search a number
-
+
82594449056 = 2571283287393
BaseRepresentation
bin100110011101100000…
…0110100011010100000
321220012011000202000202
41030323000310122200
52323123134332211
6101535433404332
75652524143010
oct1147300643240
9256164022022
1082594449056
1132034460059
12140108696a8
137a337b3282
143dd7573c40
15223615453b
hex133b0346a0

82594449056 has 48 divisors (see below), whose sum is σ = 185983003584. Its totient is φ = 35369908224.

The previous prime is 82594449019. The next prime is 82594449089. The reversal of 82594449056 is 65094449528.

It is a super-2 number, since 2×825944490562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 82594448992 and 82594449010.

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, 143696 + ... + 431088.

It is an arithmetic number, because the mean of its divisors is an integer number (3874645908).

Almost surely, 282594449056 is an apocalyptic number.

It is a pronic number, being equal to 287392×287393.

It is an amenable number.

82594449056 is an abundant number, since it is smaller than the sum of its proper divisors (103388554528).

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

82594449056 is a wasteful number, since it uses less digits than its factorization.

82594449056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288693 (or 288685 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 56.

The spelling of 82594449056 in words is "eighty-two billion, five hundred ninety-four million, four hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1283 2566 5132 8981 10264 17962 20528 35924 41056 71848 143696 287392 287393 574786 1149572 2011751 2299144 4023502 4598288 8047004 9196576 16094008 32188016 64376032 368725219 737450438 1474900876 2581076533 2949801752 5162153066 5899603504 10324306132 11799207008 20648612264 41297224528 82594449056