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6748885440 = 263351171011
BaseRepresentation
bin1100100100100001…
…11101000111000000
3122102100012220101000
412102100331013000
5102310203313230
63033404012000
7326146402563
oct62220750700
918370186330
106748885440
11295362a580
121384231000
1383729314b
144804704da
15297764b60
hex19243d1c0

6748885440 has 224 divisors, whose sum is σ = 25973349120. Its totient is φ = 1636070400.

The previous prime is 6748885439. The next prime is 6748885457. The reversal of 6748885440 is 445888476.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 59535 + ... + 130545.

Almost surely, 26748885440 is an apocalyptic number.

6748885440 is a gapful number since it is divisible by the number (60) 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 6748885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986674560).

6748885440 is an abundant number, since it is smaller than the sum of its proper divisors (19224463680).

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

6748885440 is a wasteful number, since it uses less digits than its factorization.

6748885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71048 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The square root of 6748885440 is about 82151.6003495976. The cubic root of 6748885440 is about 1889.7775500347. Note that the first 3 decimals are identical.

The spelling of 6748885440 in words is "six billion, seven hundred forty-eight million, eight hundred eighty-five thousand, four hundred forty".