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6004480064 = 26118529091
BaseRepresentation
bin1011001011110010…
…10001100001000000
3120111110111012011112
411211321101201000
544244121330224
62431452502452
7301540144532
oct54571214100
916443435145
106004480064
112601410820
1211b6a7aa28
13748ca6cab
1440d657852
1525222030e
hex165e51840

6004480064 has 28 divisors (see below), whose sum is σ = 12998336208. Its totient is φ = 2729308800.

The previous prime is 6004480049. The next prime is 6004480067. The reversal of 6004480064 is 4600844006.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6004480064.

It is not an unprimeable number, because it can be changed into a prime (6004480067) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4263842 + ... + 4265249.

Almost surely, 26004480064 is an apocalyptic number.

6004480064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6004480064 is an abundant number, since it is smaller than the sum of its proper divisors (6993856144).

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

6004480064 is a wasteful number, since it uses less digits than its factorization.

6004480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529114 (or 8529104 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 6004480064 is about 77488.5802167003. The cubic root of 6004480064 is about 1817.5727478990.

The spelling of 6004480064 in words is "six billion, four million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 8529091 17058182 34116364 68232728 93820001 136465456 187640002 272930912 375280004 545861824 750560008 1501120016 3002240032 6004480064