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2131827564 = 223177652297
BaseRepresentation
bin111111100010001…
…0001101101101100
312111120102001122110
41333010101231230
513331221440224
6551312244020
7103554143466
oct17704215554
95446361573
102131827564
119a43a7669
124b5b40610
1327c882939
141631b3136
15c7252929
hex7f111b6c

2131827564 has 12 divisors (see below), whose sum is σ = 4974264344. Its totient is φ = 710609184.

The previous prime is 2131827563. The next prime is 2131827617. The reversal of 2131827564 is 4657281312.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (2131827563) 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 3 ways as a sum of consecutive naturals, for example, 88826137 + ... + 88826160.

Almost surely, 22131827564 is an apocalyptic number.

It is an amenable number.

2131827564 is an abundant number, since it is smaller than the sum of its proper divisors (2842436780).

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

2131827564 is a wasteful number, since it uses less digits than its factorization.

2131827564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177652304 (or 177652302 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2131827564 is about 46171.7182266374. The cubic root of 2131827564 is about 1287.0162322894.

The spelling of 2131827564 in words is "two billion, one hundred thirty-one million, eight hundred twenty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 177652297 355304594 532956891 710609188 1065913782 2131827564