Search a number
-
+
563140456100 = 22525631404561
BaseRepresentation
bin10000011000111011100…
…10010110111010100100
31222211120020010012212122
420030131302112322210
533211302424043400
61110411514205112
755454100616625
oct10143562267244
91884506105778
10563140456100
111a7910119722
1291182723798
13411473c92c1
141d382c01a4c
15e9ade21685
hex831dc96ea4

563140456100 has 18 divisors (see below), whose sum is σ = 1222014789954. Its totient is φ = 225256182400.

The previous prime is 563140456091. The next prime is 563140456129. The reversal of 563140456100 is 1654041365.

It can be written as a sum of positive squares in 3 ways, for example, as 151420600384 + 411719855716 = 389128^2 + 641654^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2815702181 + ... + 2815702380.

It is an arithmetic number, because the mean of its divisors is an integer number (67889710553).

Almost surely, 2563140456100 is an apocalyptic number.

563140456100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563140456100 is an abundant number, since it is smaller than the sum of its proper divisors (658874333854).

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

563140456100 is a wasteful number, since it uses less digits than its factorization.

563140456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631404575 (or 5631404568 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 563140456100 its reverse (1654041365), we get a palindrome (564794497465).

The spelling of 563140456100 in words is "five hundred sixty-three billion, one hundred forty million, four hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5631404561 11262809122 22525618244 28157022805 56314045610 112628091220 140785114025 281570228050 563140456100