Search a number
-
+
2002232546561 = 13177498677553
BaseRepresentation
bin11101001000101110010…
…111000001010100000001
321002102010000202222002202
4131020232113001110001
5230301033012442221
64131451332122545
7264441121560122
oct35105627012401
97072100688082
102002232546561
11702162090095
12284067766455
13116a6ac4cb40
146cca11a0049
1537138ec7d0b
hex1d22e5c1501

2002232546561 has 8 divisors (see below), whose sum is σ = 2156372169000. Its totient is φ = 1848110314752.

The previous prime is 2002232546537. The next prime is 2002232546579. The reversal of 2002232546561 is 1656452322002.

It can be written as a sum of positive squares in 4 ways, for example, as 84439642225 + 1917792904336 = 290585^2 + 1384844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-2002232546561 is a prime.

It is a super-3 number, since 3×20022325465613 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002232546521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4108040 + ... + 4569513.

It is an arithmetic number, because the mean of its divisors is an integer number (269546521125).

Almost surely, 22002232546561 is an apocalyptic number.

It is an amenable number.

2002232546561 is a deficient number, since it is larger than the sum of its proper divisors (154139622439).

2002232546561 is a wasteful number, since it uses less digits than its factorization.

2002232546561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695315.

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 2002232546561 its reverse (1656452322002), we get a palindrome (3658684868563).

The spelling of 2002232546561 in words is "two trillion, two billion, two hundred thirty-two million, five hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 13 17749 230737 8677553 112808189 154017888197 2002232546561