Search a number
-
+
6483016512 = 263277512141
BaseRepresentation
bin1100000100110101…
…01111101101000000
3121201210221100202200
412002122233231000
5101234123012022
62551145313200
7316440505530
oct60232575500
917653840680
106483016512
112827548295
12130b195800
137c418575b
144570234c0
1527e248bac
hex1826afb40

6483016512 has 168 divisors, whose sum is σ = 21275235072. Its totient is φ = 1848960000.

The previous prime is 6483016493. The next prime is 6483016523. The reversal of 6483016512 is 2156103846.

It is a happy number.

6483016512 is a `hidden beast` number, since 6 + 483 + 0 + 165 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×64830165122 = 84059006189729292288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3026962 + ... + 3029102.

It is an arithmetic number, because the mean of its divisors is an integer number (126638304).

Almost surely, 26483016512 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 6483016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637617536).

6483016512 is an abundant number, since it is smaller than the sum of its proper divisors (14792218560).

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

6483016512 is a wasteful number, since it uses less digits than its factorization.

6483016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6483016512 is about 80517.1814707892. The cubic root of 6483016512 is about 1864.6287489459.

The spelling of 6483016512 in words is "six billion, four hundred eighty-three million, sixteen thousand, five hundred twelve".