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56105345000 = 235411221069
BaseRepresentation
bin110100010000001000…
…111001111111101000
312100211002002211110202
4310100020321333220
51404400432020000
641435140131332
74024225364255
oct642010717750
9170732084422
1056105345000
1121881006121
12aa59696b48
1353a19010c3
142a0352242c
1516d588add5
hexd10239fe8

56105345000 has 40 divisors (see below), whose sum is σ = 131454835050. Its totient is φ = 22442136000.

The previous prime is 56105344973. The next prime is 56105345011. The reversal of 56105345000 is 54350165.

It can be written as a sum of positive squares in 5 ways, for example, as 3632836 + 56101712164 = 1906^2 + 236858^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5605535 + ... + 5615534.

Almost surely, 256105345000 is an apocalyptic number.

56105345000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56105345000 is an abundant number, since it is smaller than the sum of its proper divisors (75349490050).

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

56105345000 is a wasteful number, since it uses less digits than its factorization.

56105345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221095 (or 11221076 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 56105345000 its reverse (54350165), we get a palindrome (56159695165).

The spelling of 56105345000 in words is "fifty-six billion, one hundred five million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 11221069 22442138 44884276 56105345 89768552 112210690 224421380 280526725 448842760 561053450 1122106900 1402633625 2244213800 2805267250 5610534500 7013168125 11221069000 14026336250 28052672500 56105345000