Search a number
-
+
204255739296 = 253271723143263
BaseRepresentation
bin1011111000111010010…
…1110011110110100000
3201112012221012122022100
42332032211303312200
511321303432124141
6233500033210400
720520435065130
oct2761645636640
9645187178270
10204255739296
1179696049114
1233704a00a00
1316351c126cb
149c593a6ac0
1554a6db40b6
hex2f8e973da0

204255739296 has 864 divisors, whose sum is σ = 747685306368. Its totient is φ = 51720560640.

The previous prime is 204255739283. The next prime is 204255739333. The reversal of 204255739296 is 692937552402.

204255739296 is a `hidden beast` number, since 2 + 0 + 42 + 5 + 573 + 9 + 29 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 776637661 + ... + 776637923.

It is an arithmetic number, because the mean of its divisors is an integer number (865376512).

Almost surely, 2204255739296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204255739296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373842653184).

204255739296 is an abundant number, since it is smaller than the sum of its proper divisors (543429567072).

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

204255739296 is a wasteful number, since it uses less digits than its factorization.

204255739296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 204255739296 in words is "two hundred four billion, two hundred fifty-five million, seven hundred thirty-nine thousand, two hundred ninety-six".