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6655074048 = 28357172931
BaseRepresentation
bin1100011001010110…
…00101111100000000
3122011210200210100000
412030223011330000
5102112144332143
63020213200000
7323630124150
oct61453057400
918153623300
106655074048
1129056856a7
121358930000
13820a0844c
14471c10760
1528e3d3bd3
hex18cac5f00

6655074048 has 864 divisors, whose sum is σ = 25713192960. Its totient is φ = 1672151040.

The previous prime is 6655074047. The next prime is 6655074073. The reversal of 6655074048 is 8404705566.

6655074048 is a `hidden beast` number, since 6 + 65 + 507 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 6655073994 and 6655074012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6655074047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214679793 + ... + 214679823.

It is an arithmetic number, because the mean of its divisors is an integer number (29760640).

Almost surely, 26655074048 is an apocalyptic number.

6655074048 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 6655074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

6655074048 is an abundant number, since it is smaller than the sum of its proper divisors (19058118912).

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

6655074048 is a wasteful number, since it uses less digits than its factorization.

6655074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6655074048 is about 81578.6372036209. The cubic root of 6655074048 is about 1880.9805176435.

The spelling of 6655074048 in words is "six billion, six hundred fifty-five million, seventy-four thousand, forty-eight".