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2642026644 = 2232174317037
BaseRepresentation
bin1001110101111010…
…0010000010010100
320211010102212012200
42131132202002110
520402324323034
61114055444500
7122320566405
oct23536420224
96733385180
102642026644
11113639a7a4
12618986730
1333149909a
141b0c619ac
15106e32a99
hex9d7a2094

2642026644 has 36 divisors (see below), whose sum is σ = 7071308244. Its totient is φ = 828870912.

The previous prime is 2642026637. The next prime is 2642026687. The reversal of 2642026644 is 4466202462.

2642026644 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 0 + 2 + 6 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1223600400 + 1418426244 = 34980^2 + 37662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2642026599 and 2642026608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2157907 + ... + 2159130.

It is an arithmetic number, because the mean of its divisors is an integer number (196425229).

Almost surely, 22642026644 is an apocalyptic number.

It is an amenable number.

2642026644 is an abundant number, since it is smaller than the sum of its proper divisors (4429281600).

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

2642026644 is a wasteful number, since it uses less digits than its factorization.

2642026644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317064 (or 4317059 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2642026644 is about 51400.6482838495. The cubic root of 2642026644 is about 1382.4382163452.

The spelling of 2642026644 in words is "two billion, six hundred forty-two million, twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4317037 8634074 12951111 17268148 25902222 38853333 51804444 73389629 77706666 146779258 155413332 220168887 293558516 440337774 660506661 880675548 1321013322 2642026644