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55076000800 = 255268845001
BaseRepresentation
bin110011010010110010…
…010001010000100000
312021011100012201200111
4303102302101100200
51400243424011200
641145045501104
73656556165622
oct632262212040
9167140181614
1055076000800
11213a2a6a637
12a810a11794
13526958b5b2
142946936c12
1516753100ba
hexcd2c91420

55076000800 has 36 divisors (see below), whose sum is σ = 134454288906. Its totient is φ = 22030400000.

The previous prime is 55076000783. The next prime is 55076000893. The reversal of 55076000800 is 800067055.

It can be written as a sum of positive squares in 3 ways, for example, as 42322364176 + 12753636624 = 205724^2 + 112932^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34421701 + ... + 34423300.

Almost surely, 255076000800 is an apocalyptic number.

55076000800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55076000800 is an abundant number, since it is smaller than the sum of its proper divisors (79378288106).

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

55076000800 is a wasteful number, since it uses less digits than its factorization.

55076000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68845021 (or 68845008 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 55076000800 its reverse (800067055), we get a palindrome (55876067855).

The spelling of 55076000800 in words is "fifty-five billion, seventy-six million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 68845001 137690002 275380004 344225005 550760008 688450010 1101520016 1376900020 1721125025 2203040032 2753800040 3442250050 5507600080 6884500100 11015200160 13769000200 27538000400 55076000800