Search a number
-
+
1133664336 = 24347196577
BaseRepresentation
bin100001110010010…
…0101100001010000
32221000012010010000
41003210211201100
54310204224321
6304254210000
740043662560
oct10344454120
92830163100
101133664336
11531a18882
122777b3900
13150b397cc
14aa7c2da0
15697d5826
hex43925850

1133664336 has 200 divisors, whose sum is σ = 3947852480. Its totient is φ = 306809856.

The previous prime is 1133664331. The next prime is 1133664347. The reversal of 1133664336 is 6334663311.

1133664336 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 6 + 643 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1133664336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133664331) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 169080 + ... + 175656.

Almost surely, 21133664336 is an apocalyptic number.

1133664336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133664336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973926240).

1133664336 is an abundant number, since it is smaller than the sum of its proper divisors (2814188144).

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

1133664336 is a wasteful number, since it uses less digits than its factorization.

1133664336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6608 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 1133664336 is about 33669.9322244640. The cubic root of 1133664336 is about 1042.7050929237.

The spelling of 1133664336 in words is "one billion, one hundred thirty-three million, six hundred sixty-four thousand, three hundred thirty-six".