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6741109440 = 263351360017
BaseRepresentation
bin1100100011100110…
…10010101011000000
3122101210120211201000
412101303102223000
5102301211000230
63032525212000
7326023325202
oct62163225300
918353524630
106741109440
11294a1a932a
121381701000
1383579c970
1447d408772
15296c2ab60
hex191cd2ac0

6741109440 has 224 divisors, whose sum is σ = 25610880960. Its totient is φ = 1659322368.

The previous prime is 6741109409. The next prime is 6741109447. The reversal of 6741109440 is 449011476.

It is a super-2 number, since 2×67411094402 = 90885112964114227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6741109395 and 6741109404.

It is not an unprimeable number, because it can be changed into a prime (6741109447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82312 + ... + 142328.

It is an arithmetic number, because the mean of its divisors is an integer number (114334290).

Almost surely, 26741109440 is an apocalyptic number.

6741109440 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 6741109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805440480).

6741109440 is an abundant number, since it is smaller than the sum of its proper divisors (18869771520).

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

6741109440 is a wasteful number, since it uses less digits than its factorization.

6741109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60056 (or 60040 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6741109440 is about 82104.2595728139. The cubic root of 6741109440 is about 1889.0514766827.

The spelling of 6741109440 in words is "six billion, seven hundred forty-one million, one hundred nine thousand, four hundred forty".