Search a number
-
+
7066868816 = 247196075471
BaseRepresentation
bin1101001010011011…
…11101110001010000
3200020111120010120002
412211031331301100
5103433104300231
63125123305132
7340060252040
oct64515756120
920214503502
107066868816
112aa7077157
12145281b1a8
138881194a7
144b07a5720
152b56270cb
hex1a537dc50

7066868816 has 80 divisors (see below), whose sum is σ = 16501800960. Its totient is φ = 2864004480.

The previous prime is 7066868813. The next prime is 7066868819. The reversal of 7066868816 is 6188686607.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7066868813) and next prime (7066868819).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066868813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288961 + ... + 1294431.

It is an arithmetic number, because the mean of its divisors is an integer number (206272512).

Almost surely, 27066868816 is an apocalyptic number.

7066868816 is a gapful number since it is divisible by the number (76) 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 7066868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250900480).

7066868816 is an abundant number, since it is smaller than the sum of its proper divisors (9434932144).

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

7066868816 is a wasteful number, since it uses less digits than its factorization.

7066868816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 7066868816 is about 84064.6704388948. The cubic root of 7066868816 is about 1919.0031008262.

The spelling of 7066868816 in words is "seven billion, sixty-six million, eight hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 607 1064 1214 2128 2428 4249 4856 5471 8498 9712 10942 11533 16996 21884 23066 33992 38297 43768 46132 67984 76594 80731 87536 92264 103949 153188 161462 184528 207898 306376 322924 415796 612752 645848 727643 831592 1291696 1455286 1663184 2910572 3320897 5821144 6641794 11642288 13283588 23246279 26567176 46492558 53134352 63097043 92985116 126194086 185970232 252388172 371940464 441679301 504776344 883358602 1009552688 1766717204 3533434408 7066868816