Search a number
-
+
209121302880 = 25345723315361
BaseRepresentation
bin1100001011000010011…
…0011101100101100000
3201222210000121212210000
43002300212131211200
511411240023143010
6240022523140000
721052135513530
oct3026046354540
9658700555700
10209121302880
1180762584046
1234642374600
1316948c61409
14a19b6714c0
15568e1127c0
hex30b099d960

209121302880 has 1920 divisors, whose sum is σ = 940835782656. Its totient is φ = 42699571200.

The previous prime is 209121302879. The next prime is 209121302939. The reversal of 209121302880 is 88203121902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3428218050 + ... + 3428218110.

Almost surely, 2209121302880 is an apocalyptic number.

209121302880 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 209121302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470417891328).

209121302880 is an abundant number, since it is smaller than the sum of its proper divisors (731714479776).

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

209121302880 is a wasteful number, since it uses less digits than its factorization.

209121302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 209121302880 in words is "two hundred nine billion, one hundred twenty-one million, three hundred two thousand, eight hundred eighty".