Search a number
-
+
209087006832 = 243411217107733
BaseRepresentation
bin1100001010111010001…
…1101000100001110000
3201222200122002110110000
43002232203220201300
511411202233204312
6240015300110000
721051241143204
oct3025643504160
9658618073400
10209087006832
1180745189a00
1234632995300
1316941b13bb2
14a196ca4b04
15568b0daadc
hex30ae8e8870

209087006832 has 600 divisors, whose sum is σ = 711854157168. Its totient is φ = 58994749440.

The previous prime is 209087006803. The next prime is 209087006837. The reversal of 209087006832 is 238600780902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209087006837) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 285247938 + ... + 285248670.

Almost surely, 2209087006832 is an apocalyptic number.

209087006832 is a gapful number since it is divisible by the number (22) 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 209087006832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355927078584).

209087006832 is an abundant number, since it is smaller than the sum of its proper divisors (502767150336).

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

209087006832 is a wasteful number, since it uses less digits than its factorization.

209087006832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 209087006832 in words is "two hundred nine billion, eighty-seven million, six thousand, eight hundred thirty-two".