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204049268280 = 2332511132304897
BaseRepresentation
bin1011111000001001001…
…0001011111000111000
3201111200112200211022200
42332002102023320320
511320343103041110
6233423335550200
720512350106614
oct2760222137070
9644615624280
10204049268280
117959a546410
123366782b360
131631b200c00
149c39bbc344
155493bcc6c0
hex2f8248be38

204049268280 has 288 divisors, whose sum is σ = 783380529360. Its totient is φ = 45661224960.

The previous prime is 204049268257. The next prime is 204049268299. The reversal of 204049268280 is 82862940402.

204049268280 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 492 + 6 + 82 + 80 = 666.

204049268280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2040492682802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516792 + ... + 821688.

Almost surely, 2204049268280 is an apocalyptic number.

204049268280 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 204049268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391690264680).

204049268280 is an abundant number, since it is smaller than the sum of its proper divisors (579331261080).

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

204049268280 is a wasteful number, since it uses less digits than its factorization.

204049268280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304951 (or 304931 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 204049268280 in words is "two hundred four billion, forty-nine million, two hundred sixty-eight thousand, two hundred eighty".