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6753414144 = 21032198377
BaseRepresentation
bin1100100101000100…
…01110110000000000
3122102122201222120210
412102202032300000
5102312333223034
63034045034120
7326233034031
oct62242166000
918378658523
106753414144
112956143004
121385855940
138381ba559
14480ccca88
15297d5b8e9
hex19288ec00

6753414144 has 44 divisors (see below), whose sum is σ = 18000319064. Its totient is φ = 2251137024.

The previous prime is 6753414113. The next prime is 6753414163. The reversal of 6753414144 is 4414143576.

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 3 ways as a sum of consecutive naturals, for example, 1096117 + ... + 1102260.

Almost surely, 26753414144 is an apocalyptic number.

6753414144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6753414144 is an abundant number, since it is smaller than the sum of its proper divisors (11246904920).

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

6753414144 is a wasteful number, since it uses less digits than its factorization.

6753414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198400 (or 2198382 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 6753414144 is about 82179.1588177927. The cubic root of 6753414144 is about 1890.2001546094.

The spelling of 6753414144 in words is "six billion, seven hundred fifty-three million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 2198377 4396754 6595131 8793508 13190262 17587016 26380524 35174032 52761048 70348064 105522096 140696128 211044192 281392256 422088384 562784512 844176768 1125569024 1688353536 2251138048 3376707072 6753414144