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2271681639 = 33127662491
BaseRepresentation
bin1000011101100111…
…0001110001100111
312212022120101101000
42013121301301213
514123022303024
61013230004343
7110202655353
oct20731616147
95768511330
102271681639
11a6633a047
125349466b3
132a283b726
141779ba463
15d467acc9
hex87671c67

2271681639 has 16 divisors (see below), whose sum is σ = 3391959040. Its totient is φ = 1502527320.

The previous prime is 2271681631. The next prime is 2271681653. The reversal of 2271681639 is 9361861722.

2271681639 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 6 + 8 + 1 + 639 = 666.

It is not a de Polignac number, because 2271681639 - 23 = 2271681631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2271681594 and 2271681603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271681631) 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, 327817 + ... + 334674.

It is an arithmetic number, because the mean of its divisors is an integer number (211997440).

Almost surely, 22271681639 is an apocalyptic number.

2271681639 is a deficient number, since it is larger than the sum of its proper divisors (1120277401).

2271681639 is a wasteful number, since it uses less digits than its factorization.

2271681639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662627 (or 662621 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2271681639 is about 47662.1615015517. The cubic root of 2271681639 is about 1314.5662839305.

The spelling of 2271681639 in words is "two billion, two hundred seventy-one million, six hundred eighty-one thousand, six hundred thirty-nine".

Divisors: 1 3 9 27 127 381 1143 3429 662491 1987473 5962419 17887257 84136357 252409071 757227213 2271681639