Search a number
-
+
11784065440 = 2557171633797
BaseRepresentation
bin10101111100110001…
…01001000110100000
31010102020210112211011
422332120221012200
5143113210043230
65225153230304
7565006621630
oct127630510640
933366715734
1011784065440
114aa7885864
12234a562394
13115a4bb6b4
147db08c6c0
1548e819e2a
hex2be6291a0

11784065440 has 192 divisors, whose sum is σ = 33904168704. Its totient is φ = 3778265088.

The previous prime is 11784065431. The next prime is 11784065441. The reversal of 11784065440 is 4456048711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11784065393 and 11784065402.

It is not an unprimeable number, because it can be changed into a prime (11784065441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3101622 + ... + 3105418.

It is an arithmetic number, because the mean of its divisors is an integer number (176584212).

Almost surely, 211784065440 is an apocalyptic number.

11784065440 is a gapful number since it is divisible by the number (10) 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 11784065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952084352).

11784065440 is an abundant number, since it is smaller than the sum of its proper divisors (22120103264).

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

11784065440 is a wasteful number, since it uses less digits than its factorization.

11784065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 11784065440 in words is "eleven billion, seven hundred eighty-four million, sixty-five thousand, four hundred forty".