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6485137344 = 263776619
BaseRepresentation
bin1100000101000101…
…10101011111000000
3121201221221010000000
412002202311133000
5101240143343334
62551303000000
7316464520650
oct60242653700
917657833000
106485137344
112828766744
12130ba39000
137c4748b9a
14457416360
1527e517299
hex1828b57c0

6485137344 has 224 divisors, whose sum is σ = 22061017600. Its totient is φ = 1852616448.

The previous prime is 6485137319. The next prime is 6485137489. The reversal of 6485137344 is 4437315846.

6485137344 is a `hidden beast` number, since 6 + 485 + 137 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 6485137344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976467 + ... + 983085.

Almost surely, 26485137344 is an apocalyptic number.

6485137344 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 6485137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030508800).

6485137344 is an abundant number, since it is smaller than the sum of its proper divisors (15575880256).

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

6485137344 is an frugal number, since it uses more digits than its factorization.

6485137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6631 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 6485137344 is about 80530.3504524847. The cubic root of 6485137344 is about 1864.8320562161.

The spelling of 6485137344 in words is "six billion, four hundred eighty-five million, one hundred thirty-seven thousand, three hundred forty-four".