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2133467136 = 21332191523
BaseRepresentation
bin111111100101010…
…0010000000000000
312111200111100201100
41333022202000000
513332131422021
6551411334400
7103604112543
oct17712420000
95450440640
102133467136
119a5317489
124b65b1400
13280007cb8
141634bc85a
15c7478626
hex7f2a2000

2133467136 has 168 divisors, whose sum is σ = 6491599920. Its totient is φ = 673284096.

The previous prime is 2133467111. The next prime is 2133467197. The reversal of 2133467136 is 6317643312.

2133467136 is a `hidden beast` number, since 213 + 346 + 71 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2133467136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1400071 + ... + 1401593.

Almost surely, 22133467136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245799960).

2133467136 is an abundant number, since it is smaller than the sum of its proper divisors (4358132784).

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

2133467136 is a wasteful number, since it uses less digits than its factorization.

2133467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1547 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 2133467136 is about 46189.4699688143. The cubic root of 2133467136 is about 1287.3460924645.

The spelling of 2133467136 in words is "two billion, one hundred thirty-three million, four hundred sixty-seven thousand, one hundred thirty-six".