Search a number
-
+
2075823955984 = 243601932
BaseRepresentation
bin11110001101010000101…
…111111110000000010000
321100110001201222220112011
4132031100233332000100
5233002241413042414
64225341555312304
7302654565332152
oct36152057760020
97313051886464
102075823955984
11730396563219
122963852ab694
1312099845a40c
1472682b6aad2
1538ee4a4edc4
hex1e350bfe010

2075823955984 has 15 divisors (see below), whose sum is σ = 4021920080733. Its totient is φ = 1037909096448.

The previous prime is 2075823955981. The next prime is 2075823956029. The reversal of 2075823955984 is 4895593285702.

The square root of 2075823955984 is 1440772.

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., 750267792400 + 1325556163584 = 866180^2 + 1151328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2075823955981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5582992 + ... + 5943184.

Almost surely, 22075823955984 is an apocalyptic number.

2075823955984 is the 1440772-nd square number.

It is an amenable number.

2075823955984 is a deficient number, since it is larger than the sum of its proper divisors (1946096124749).

2075823955984 is an frugal number, since it uses more digits than its factorization.

2075823955984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720394 (or 360195 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 67.

The spelling of 2075823955984 in words is "two trillion, seventy-five billion, eight hundred twenty-three million, nine hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 360193 720386 1440772 2881544 5763088 129738997249 259477994498 518955988996 1037911977992 2075823955984