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56541105200 = 2452571247553
BaseRepresentation
bin110100101010000111…
…001100110000110000
312101221110001202002102
4310222013030300300
51411244010331300
641550304035532
74041066315206
oct645207146060
9171843052072
1056541105200
1121a84a86218
12ab5b602ba8
135440c83488
142a45355076
15170dc650d5
hexd2a1ccc30

56541105200 has 60 divisors (see below), whose sum is σ = 136078453368. Its totient is φ = 22576742400.

The previous prime is 56541105197. The next prime is 56541105209. The reversal of 56541105200 is 250114565.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56541105209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104624 + ... + 352176.

Almost surely, 256541105200 is an apocalyptic number.

56541105200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56541105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68039226684).

56541105200 is an abundant number, since it is smaller than the sum of its proper divisors (79537348168).

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

56541105200 is a wasteful number, since it uses less digits than its factorization.

56541105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248142 (or 248131 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 56541105200 its reverse (250114565), we get a palindrome (56791219765).

The spelling of 56541105200 in words is "fifty-six billion, five hundred forty-one million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 571 1142 2284 2855 4568 5710 9136 11420 14275 22840 28550 45680 57100 114200 228400 247553 495106 990212 1237765 1980424 2475530 3960848 4951060 6188825 9902120 12377650 19804240 24755300 49510600 99021200 141352763 282705526 565411052 706763815 1130822104 1413527630 2261644208 2827055260 3533819075 5654110520 7067638150 11308221040 14135276300 28270552600 56541105200