Search a number
-
+
189479062080 = 26345711139683
BaseRepresentation
bin1011000001110111010…
…1010000101001000000
3200010002010021122220000
42300131311100221000
511101023114441310
6223013453520000
716455316311420
oct2603565205100
9603063248800
10189479062080
11733a2a99890
12308801a3000
1314b38728619
149256ab6480
154dde9b44c0
hex2c1dd50a40

189479062080 has 1120 divisors, whose sum is σ = 847609297920. Its totient is φ = 39031787520.

The previous prime is 189479062057. The next prime is 189479062133. The reversal of 189479062080 is 80260974981.

189479062080 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 7 + 9 + 0 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 277421419 + ... + 277422101.

It is an arithmetic number, because the mean of its divisors is an integer number (756794016).

Almost surely, 2189479062080 is an apocalyptic number.

189479062080 is a gapful number since it is divisible by the number (10) 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 189479062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423804648960).

189479062080 is an abundant number, since it is smaller than the sum of its proper divisors (658130235840).

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

189479062080 is a wasteful number, since it uses less digits than its factorization.

189479062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 189479062080 in words is "one hundred eighty-nine billion, four hundred seventy-nine million, sixty-two thousand, eighty".