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2632023466541 = 76119733124171
BaseRepresentation
bin100110010011010000110…
…100101110001000101101
3100022121201020111120002122
4212103100310232020231
5321110341001412131
65333045045202325
7361104665221220
oct46232064561055
910277636446078
102632023466541
119252646a2807
1236612b4003a5
13161277859241
1491567bc55b7
15486e941ed7b
hex264d0d2e22d

2632023466541 has 16 divisors (see below), whose sum is σ = 3058889301888. Its totient is φ = 2217910766400.

The previous prime is 2632023466517. The next prime is 2632023466543. The reversal of 2632023466541 is 1456643202362.

2632023466541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-2632023466541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2632023466492 and 2632023466501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632023466543) 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 15 ways as a sum of consecutive naturals, for example, 719615 + ... + 2404556.

It is an arithmetic number, because the mean of its divisors is an integer number (191180581368).

Almost surely, 22632023466541 is an apocalyptic number.

It is an amenable number.

2632023466541 is a deficient number, since it is larger than the sum of its proper divisors (426865835347).

2632023466541 is a wasteful number, since it uses less digits than its factorization.

2632023466541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126212.

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 2632023466541 in words is "two trillion, six hundred thirty-two billion, twenty-three million, four hundred sixty-six thousand, five hundred forty-one".

Divisors: 1 7 61 427 1973 13811 120353 842471 3124171 21869197 190574431 1334021017 6163989383 43147925681 376003352363 2632023466541