Search a number
-
+
204245322432600 = 233528231237933413
BaseRepresentation
bin101110011100001010010001…
…111001000000000001011000
3222210011122212200202120102210
4232130022101321000001120
5203232323410020320400
62002221001130355120
761010144330512641
oct5634122171000130
9883148780676383
10204245322432600
115a095a55937589
121aaa814128baa0
1389c733603b127
1438617524466c8
151892d5239c950
hexb9c291e40058

204245322432600 has 192 divisors, whose sum is σ = 634000016044800. Its totient is φ = 54393217758720.

The previous prime is 204245322432587. The next prime is 204245322432607. The reversal of 204245322432600 is 6234223542402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204245322432607) 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, 6112733494 + ... + 6112766906.

It is an arithmetic number, because the mean of its divisors is an integer number (3302083416900).

Almost surely, 2204245322432600 is an apocalyptic number.

204245322432600 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 204245322432600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317000008022400).

204245322432600 is an abundant number, since it is smaller than the sum of its proper divisors (429754693612200).

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

204245322432600 is a wasteful number, since it uses less digits than its factorization.

204245322432600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46634 (or 46625 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

The spelling of 204245322432600 in words is "two hundred four trillion, two hundred forty-five billion, three hundred twenty-two million, four hundred thirty-two thousand, six hundred".