Search a number
-
+
6386804424 = 233371113109271
BaseRepresentation
bin1011111001010111…
…01110011011001000
3121111002220021121000
411330223232123020
5101040010220144
62533431215000
7314161641030
oct57453563310
917432807530
106386804424
112788203770
1212a2b17460
137aa26a120
1444833a8c0
15275a91769
hex17caee6c8

6386804424 has 512 divisors, whose sum is σ = 24127488000. Its totient is φ = 1511654400.

The previous prime is 6386804423. The next prime is 6386804429. The reversal of 6386804424 is 4244086836.

6386804424 is a `hidden beast` number, since 638 + 6 + 8 + 0 + 4 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6386804424.

It is not an unprimeable number, because it can be changed into a prime (6386804423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23567409 + ... + 23567679.

It is an arithmetic number, because the mean of its divisors is an integer number (47124000).

Almost surely, 26386804424 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 6386804424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12063744000).

6386804424 is an abundant number, since it is smaller than the sum of its proper divisors (17740683576).

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

6386804424 is a wasteful number, since it uses less digits than its factorization.

6386804424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 6386804424 is about 79917.4850955659. The cubic root of 6386804424 is about 1855.3586463475.

The spelling of 6386804424 in words is "six billion, three hundred eighty-six million, eight hundred four thousand, four hundred twenty-four".