Search a number
-
+
6760447056 = 2433112949057
BaseRepresentation
bin1100100101111010…
…00011110001010000
3122110010222021221000
412102331003301100
5102321133301211
63034455502000
7326346565116
oct62275036120
918403867830
106760447056
11295a106a30
121388087900
138397b073c
14481bddab6
1529879a656
hex192f43c50

6760447056 has 160 divisors (see below), whose sum is σ = 21899491200. Its totient is φ = 1977937920.

The previous prime is 6760447051. The next prime is 6760447121. The reversal of 6760447056 is 6507440676.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6760447051) 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, 113280 + ... + 162336.

It is an arithmetic number, because the mean of its divisors is an integer number (136871820).

Almost surely, 26760447056 is an apocalyptic number.

6760447056 is a gapful number since it is divisible by the number (66) 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 6760447056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949745600).

6760447056 is an abundant number, since it is smaller than the sum of its proper divisors (15139044144).

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

6760447056 is a wasteful number, since it uses less digits than its factorization.

6760447056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49114 (or 49102 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6760447056 is about 82221.9378025111. The cubic root of 6760447056 is about 1890.8560697333.

The spelling of 6760447056 in words is "six billion, seven hundred sixty million, four hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 957 1044 1188 1276 1392 1566 1584 1914 2088 2376 2552 2871 3132 3828 4176 4752 5104 5742 6264 7656 8613 11484 12528 15312 17226 22968 34452 45936 49057 68904 98114 137808 147171 196228 294342 392456 441513 539627 588684 784912 883026 1079254 1177368 1324539 1422653 1618881 1766052 2158508 2354736 2649078 2845306 3237762 3532104 4267959 4317016 4856643 5298156 5690612 6475524 7064208 8535918 8634032 9713286 10596312 11381224 12803877 12951048 14569929 15649183 17071836 19426572 21192624 22762448 25607754 25902096 29139858 31298366 34143672 38411631 38853144 46947549 51215508 58279716 62596732 68287344 76823262 77706288 93895098 102431016 116559432 125193464 140842647 153646524 187790196 204862032 233118864 250386928 281685294 307293048 375580392 422527941 563370588 614586096 751160784 845055882 1126741176 1690111764 2253482352 3380223528 6760447056