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6490096704 = 2633713149277
BaseRepresentation
bin1100000101101011…
…10000010001000000
3121202022021001222000
412002311300101000
5101242431043304
62552001144000
7316554624510
oct60265602100
917668231860
106490096704
112830543793
12131162b000
137c5794310
14457d47840
1527eb96939
hex182d70440

6490096704 has 448 divisors, whose sum is σ = 23725632000. Its totient is φ = 1694048256.

The previous prime is 6490096651. The next prime is 6490096747. The reversal of 6490096704 is 4076900946.

6490096704 is a `hidden beast` number, since 6 + 490 + 0 + 96 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 6490096704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23429814 + ... + 23430090.

It is an arithmetic number, because the mean of its divisors is an integer number (52959000).

Almost surely, 26490096704 is an apocalyptic number.

6490096704 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 6490096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862816000).

6490096704 is an abundant number, since it is smaller than the sum of its proper divisors (17235535296).

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

6490096704 is a wasteful number, since it uses less digits than its factorization.

6490096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6490096704 is about 80561.1364368701. The cubic root of 6490096704 is about 1865.3072976039.

It can be divided in two parts, 64900 and 96704, that added together give a square (161604 = 4022).

The spelling of 6490096704 in words is "six billion, four hundred ninety million, ninety-six thousand, seven hundred four".