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2642378541 = 311611312657
BaseRepresentation
bin1001110101111111…
…0111111100101101
320211011002201220220
42131133313330231
520402422103131
61114111201553
7122323563345
oct23537677455
96734081826
102642378541
111136610120
12618b162b9
133315902ca
141b0d13d25
15106ea1e96
hex9d7f7f2d

2642378541 has 16 divisors (see below), whose sum is σ = 3906470208. Its totient is φ = 1575187200.

The previous prime is 2642378539. The next prime is 2642378581. The reversal of 2642378541 is 1458732462.

It is not a de Polignac number, because 2642378541 - 21 = 2642378539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2642378493 and 2642378502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642378521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654316 + ... + 658341.

It is an arithmetic number, because the mean of its divisors is an integer number (244154388).

Almost surely, 22642378541 is an apocalyptic number.

It is an amenable number.

2642378541 is a deficient number, since it is larger than the sum of its proper divisors (1264091667).

2642378541 is a wasteful number, since it uses less digits than its factorization.

2642378541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312732.

The product of its digits is 322560, while the sum is 42.

The square root of 2642378541 is about 51404.0712492697. The cubic root of 2642378541 is about 1382.4995902234.

It can be divided in two parts, 2642 and 378541, that added together give a palindrome (381183).

The spelling of 2642378541 in words is "two billion, six hundred forty-two million, three hundred seventy-eight thousand, five hundred forty-one".

Divisors: 1 3 11 33 61 183 671 2013 1312657 3937971 14439227 43317681 80072077 240216231 880792847 2642378541