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6741221696 = 26112899781
BaseRepresentation
bin1100100011100111…
…01110000101000000
3122101210210112200122
412101303232011000
5102301223043241
63032531435412
7326024303366
oct62163560500
918353715618
106741221696
11294a275700
121381755b68
1383580baa1
1447d437636
15296c4e04b
hex191cee140

6741221696 has 84 divisors (see below), whose sum is σ = 14870498580. Its totient is φ = 3029452800.

The previous prime is 6741221693. The next prime is 6741221723. The reversal of 6741221696 is 6961221476.

It can be written as a sum of positive squares in 2 ways, for example, as 2053902400 + 4687319296 = 45320^2 + 68464^2 .

It is a super-2 number, since 2×67412216962 = 90888139909242232832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6741221693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684326 + ... + 694106.

It is an arithmetic number, because the mean of its divisors is an integer number (177029745).

Almost surely, 26741221696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6741221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435249290).

6741221696 is an abundant number, since it is smaller than the sum of its proper divisors (8129276884).

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

6741221696 is a wasteful number, since it uses less digits than its factorization.

6741221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 9883 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 6741221696 is about 82104.9431885803. The cubic root of 6741221696 is about 1889.0619624040.

The spelling of 6741221696 in words is "six billion, seven hundred forty-one million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 121 176 178 242 352 356 484 704 712 968 979 1424 1936 1958 2848 3872 3916 5696 7744 7832 9781 10769 15664 19562 21538 31328 39124 43076 62656 78248 86152 107591 156496 172304 215182 312992 344608 430364 625984 689216 860728 870509 1183501 1721456 1741018 2367002 3442912 3482036 4734004 6885824 6964072 9468008 9575599 13928144 18936016 19151198 27856288 37872032 38302396 55712576 75744064 76604792 105331589 153209584 210663178 306419168 421326356 612838336 842652712 1685305424 3370610848 6741221696