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388940832288 = 2532367492
BaseRepresentation
bin1011010100011101010…
…11100001111000100000
31101011220221210102220200
411222032223201320200
522333022323113123
6454402115505200
740046213345361
oct5521653417040
91334827712820
10388940832288
1113aa48a61a78
12634675b8200
132a8a5398818
1414b794cdb68
15a1b5a6d143
hex5a8eae1e20

388940832288 has 54 divisors (see below), whose sum is σ = 1106080590069. Its totient is φ = 129643416192.

The previous prime is 388940832281. The next prime is 388940832307. The reversal of 388940832288 is 882238049883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 319301844624 + 69638987664 = 565068^2 + 263892^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=440988.

It is not an unprimeable number, because it can be changed into a prime (388940832281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10565338 + ... + 10602086.

Almost surely, 2388940832288 is an apocalyptic number.

It is an amenable number.

388940832288 is an abundant number, since it is smaller than the sum of its proper divisors (717139757781).

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

388940832288 is an frugal number, since it uses more digits than its factorization.

388940832288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73514 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 388940832288 in words is "three hundred eighty-eight billion, nine hundred forty million, eight hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36749 73498 110247 146996 220494 293992 330741 440988 587984 661482 881976 1175968 1322964 1763952 2645928 3527904 5291856 10583712 1350489001 2700978002 4051467003 5401956004 8102934006 10803912008 12154401009 16205868012 21607824016 24308802018 32411736024 43215648032 48617604036 64823472048 97235208072 129646944096 194470416144 388940832288