Search a number
-
+
20204534205200 = 24524122319312861
BaseRepresentation
bin1001001100000001111000…
…00101011000101100010000
32122112112102201122200101002
410212000330011120230100
510122012341224031300
6110545500200001132
74153505123051012
oct446007405305420
978475381580332
1020204534205200
11648a770911764
1223239357601a8
13b37382ac4767
144dbc945d01b2
152508764035d5
hex12603c158b10

20204534205200 has 240 divisors, whose sum is σ = 49991647329792. Its totient is φ = 7842531840000.

The previous prime is 20204534205187. The next prime is 20204534205209. The reversal of 20204534205200 is 250243540202.

It is a super-3 number, since 3×202045342052003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20204534205209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7062051770 + ... + 7062054630.

Almost surely, 220204534205200 is an apocalyptic number.

20204534205200 is a gapful number since it is divisible by the number (20) 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 20204534205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995823664896).

20204534205200 is an abundant number, since it is smaller than the sum of its proper divisors (29787113124592).

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

20204534205200 is a wasteful number, since it uses less digits than its factorization.

20204534205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 20204534205200 its reverse (250243540202), we get a palindrome (20454777745402).

The spelling of 20204534205200 in words is "twenty trillion, two hundred four billion, five hundred thirty-four million, two hundred five thousand, two hundred".