Search a number
-
+
2463180813642 = 2313916318119351
BaseRepresentation
bin100011110110000001000…
…001000111010101001010
322201110220022021002201210
4203312001001013111022
5310324043242014032
65123323013153550
7342646626313653
oct43660101072512
98643808232653
102463180813642
1186a6a139964a
1233946a32b8b6
1314b37a611433
148730bb3852a
15441164d72cc
hex23d8104754a

2463180813642 has 32 divisors (see below), whose sum is σ = 4992243863040. Its totient is φ = 810152377200.

The previous prime is 2463180813641. The next prime is 2463180813649.

2463180813642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2463180813591 and 2463180813600.

It is not an unprimeable number, because it can be changed into a prime (2463180813641) 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 15 ways as a sum of consecutive naturals, for example, 8923734 + ... + 9195617.

It is an arithmetic number, because the mean of its divisors is an integer number (156007620720).

Almost surely, 22463180813642 is an apocalyptic number.

2463180813642 is an abundant number, since it is smaller than the sum of its proper divisors (2529063049398).

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

2463180813642 is a wasteful number, since it uses less digits than its factorization.

2463180813642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18119658.

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 2463180813642 in words is "two trillion, four hundred sixty-three billion, one hundred eighty million, eight hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 139 163 278 326 417 489 834 978 22657 45314 67971 135942 18119351 36238702 54358053 108716106 2518589789 2953454213 5037179578 5906908426 7555769367 8860362639 15111538734 17720725278 410530135607 821060271214 1231590406821 2463180813642