Search a number
-
+
6681092544 = 263872273
BaseRepresentation
bin1100011100011100…
…10110000111000000
3122020121122200000000
412032032112013000
5102140324430134
63022543000000
7324364230630
oct61616260700
918217580000
106681092544
112919336795
121365599000
138262180c9
144754646c0
15291822e99
hex18e3961c0

6681092544 has 252 divisors, whose sum is σ = 22736488944. Its totient is φ = 1908043776.

The previous prime is 6681092521. The next prime is 6681092609. The reversal of 6681092544 is 4452901866.

6681092544 is a `hidden beast` number, since 6 + 6 + 8 + 10 + 92 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 6681092544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2938192 + ... + 2940464.

Almost surely, 26681092544 is an apocalyptic number.

6681092544 is a gapful number since it is divisible by the number (64) 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 6681092544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368244472).

6681092544 is an abundant number, since it is smaller than the sum of its proper divisors (16055396400).

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

6681092544 is an frugal number, since it uses more digits than its factorization.

6681092544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6681092544 is about 81737.9504514274. The cubic root of 6681092544 is about 1883.4286067935.

The spelling of 6681092544 in words is "six billion, six hundred eighty-one million, ninety-two thousand, five hundred forty-four".