Search a number
-
+
20166810572592 = 2434195926715197
BaseRepresentation
bin1001001010111011100111…
…00101001001011100110000
32122101221001200222120220000
410211131303211021130300
510120403112001310332
6110520301015350000
74151001236342565
oct445356345113460
978357050876800
1020166810572592
116475772903192
122318568082300
13b33950531668
144da11649c86c
1524e8b96c0b7c
hex125773949730

20166810572592 has 400 divisors, whose sum is σ = 62517418867200. Its totient is φ = 6256978306560.

The previous prime is 20166810572581. The next prime is 20166810572599. The reversal of 20166810572592 is 29527501866102.

20166810572592 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 6 + 8 + 10 + 572 + 59 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20166810572599) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3880468938 + ... + 3880474134.

It is an arithmetic number, because the mean of its divisors is an integer number (156293547168).

Almost surely, 220166810572592 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 20166810572592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31258709433600).

20166810572592 is an abundant number, since it is smaller than the sum of its proper divisors (42350608294608).

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

20166810572592 is a wasteful number, since it uses less digits than its factorization.

20166810572592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7951 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 20166810572592 in words is "twenty trillion, one hundred sixty-six billion, eight hundred ten million, five hundred seventy-two thousand, five hundred ninety-two".