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1132649064 = 233219381509
BaseRepresentation
bin100001110000010…
…1101101001101000
32220221021112102100
41003200231221220
54304424232224
6304220333400
740032233601
oct10340555150
92827245370
101132649064
11531395008
122773a4260
13150872661
14aa5dada8
1569684ac9
hex4382da68

1132649064 has 48 divisors (see below), whose sum is σ = 3083523300. Its totient is φ = 375588864.

The previous prime is 1132649057. The next prime is 1132649081. The reversal of 1132649064 is 4609462311.

1132649064 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 649 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1131784164 + 864900 = 33642^2 + 930^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26859 + ... + 54650.

Almost surely, 21132649064 is an apocalyptic number.

It is an amenable number.

1132649064 is an abundant number, since it is smaller than the sum of its proper divisors (1950874236).

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

1132649064 is a wasteful number, since it uses less digits than its factorization.

1132649064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81714 (or 81707 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1132649064 is about 33654.8520127485. The cubic root of 1132649064 is about 1042.3937293119.

The spelling of 1132649064 in words is "one billion, one hundred thirty-two million, six hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 13896 81509 163018 244527 326036 489054 652072 733581 978108 1467162 1956216 2934324 5868648 15731237 31462474 47193711 62924948 94387422 125849896 141581133 188774844 283162266 377549688 566324532 1132649064