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6675407424 = 263371813049
BaseRepresentation
bin1100011011110001…
…01010001001000000
3122020012221211111000
412031320222021000
5102132401014144
63022221052000
7324265012140
oct61570521100
918205854430
106675407424
112916103444
1213636b7000
13824ca752a
144747c4920
1529109d769
hex18de2a240

6675407424 has 224 divisors, whose sum is σ = 22559264000. Its totient is φ = 1896099840.

The previous prime is 6675407381. The next prime is 6675407437. The reversal of 6675407424 is 4247045766.

6675407424 is a `hidden beast` number, since 6 + 67 + 540 + 7 + 42 + 4 = 666.

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

It is a super-2 number, since 2×66754074242 = 89122128552788631552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6675407424.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2187852 + ... + 2190900.

It is an arithmetic number, because the mean of its divisors is an integer number (100711000).

Almost surely, 26675407424 is an apocalyptic number.

6675407424 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 6675407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279632000).

6675407424 is an abundant number, since it is smaller than the sum of its proper divisors (15883856576).

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

6675407424 is a wasteful number, since it uses less digits than its factorization.

6675407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 6675407424 is about 81703.1665481822. The cubic root of 6675407424 is about 1882.8942353010.

The spelling of 6675407424 in words is "six billion, six hundred seventy-five million, four hundred seven thousand, four hundred twenty-four".