Search a number
-
+
2133866522176 = 261722324672
BaseRepresentation
bin11111000011010100010…
…110110010011001000000
321112222212211022202212221
4133003110112302121000
5234430124312202201
64312141301100424
7310111126111564
oct37032426623100
97488784282787
102133866522176
11752a71027294
122a56836b7714
131262b84c4b3c
14753cb6856a4
153a7904ec4a1
hex1f0d45b2640

2133866522176 has 189 divisors, whose sum is σ = 4712289336769. Its totient is φ = 958456035328.

The previous prime is 2133866522149. The next prime is 2133866522201. The reversal of 2133866522176 is 6712256683312.

The square root of 2133866522176 is 1460776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1661314766400 + 472551755776 = 1288920^2 + 687424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4569307095 + ... + 4569307561.

Almost surely, 22133866522176 is an apocalyptic number.

2133866522176 is the 1460776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133866522176

2133866522176 is an abundant number, since it is smaller than the sum of its proper divisors (2578422814593).

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

2133866522176 is an frugal number, since it uses more digits than its factorization.

2133866522176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 509 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 2133866522176 in words is "two trillion, one hundred thirty-three billion, eight hundred sixty-six million, five hundred twenty-two thousand, one hundred seventy-six".