Search a number
-
+
6490606080 = 29357157769
BaseRepresentation
bin1100000101101111…
…01100101000000000
3121202100012221200210
412002313230220000
5101243043343310
62552020114120
7316562145540
oct60267545000
917670187623
106490606080
112830861462
121311835940
137c591211a
1445803b320
1527ec47820
hex182deca00

6490606080 has 320 divisors, whose sum is σ = 23895970560. Its totient is φ = 1472200704.

The previous prime is 6490606037. The next prime is 6490606153. The reversal of 6490606080 is 806060946.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8439936 + ... + 8440704.

It is an arithmetic number, because the mean of its divisors is an integer number (74674908).

Almost surely, 26490606080 is an apocalyptic number.

6490606080 is a gapful number since it is divisible by the number (60) 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 6490606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947985280).

6490606080 is an abundant number, since it is smaller than the sum of its proper divisors (17405364480).

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

6490606080 is a wasteful number, since it uses less digits than its factorization.

6490606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6490606080 is about 80564.2977999560. The cubic root of 6490606080 is about 1865.3560959479.

The spelling of 6490606080 in words is "six billion, four hundred ninety million, six hundred six thousand, eighty".