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6485792128 = 27175475449
BaseRepresentation
bin1100000101001010…
…10101010110000000
3121202000011101012021
412002211111112000
5101240330322003
62551325011224
7316503215644
oct60245252600
917660141167
106485792128
112829073692
1213100b3b14
137c4917c2a
14457546c24
1527e5e62bd
hex182955580

6485792128 has 64 divisors (see below), whose sum is σ = 13708494000. Its totient is φ = 3045998592.

The previous prime is 6485792099. The next prime is 6485792129. The reversal of 6485792128 is 8212975846.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485792129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187548 + ... + 1192996.

Almost surely, 26485792128 is an apocalyptic number.

6485792128 is a gapful number since it is divisible by the number (68) 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 6485792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854247000).

6485792128 is an abundant number, since it is smaller than the sum of its proper divisors (7222701872).

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

6485792128 is a wasteful number, since it uses less digits than its factorization.

6485792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6015 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The square root of 6485792128 is about 80534.4157984647. The cubic root of 6485792128 is about 1864.8948161874.

The spelling of 6485792128 in words is "six billion, four hundred eighty-five million, seven hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 547 1088 1094 2176 2188 4376 5449 8752 9299 10898 17504 18598 21796 35008 37196 43592 70016 74392 87184 92633 148784 174368 185266 297568 348736 370532 595136 697472 741064 1190272 1482128 2964256 2980603 5928512 5961206 11857024 11922412 23844824 47689648 50670251 95379296 101340502 190758592 202681004 381517184 405362008 810724016 1621448032 3242896064 6485792128