Search a number
-
+
6982709382 = 2331127511423
BaseRepresentation
bin1101000000011001…
…11011000010000110
3200000122012101112000
412200030323002012
5103300033200012
63112515410130
7335016023205
oct64014730206
920018171460
106982709382
112a63614a00
12142a5b3946
13873860acc
144a353923c
152ad050ddc
hex1a033b086

6982709382 has 96 divisors (see below), whose sum is σ = 17090734080. Its totient is φ = 2111670000.

The previous prime is 6982709339. The next prime is 6982709429. The reversal of 6982709382 is 2839072896.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 4906323 + ... + 4907745.

It is an arithmetic number, because the mean of its divisors is an integer number (178028480).

Almost surely, 26982709382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6982709382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545367040).

6982709382 is an abundant number, since it is smaller than the sum of its proper divisors (10108024698).

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

6982709382 is a wasteful number, since it uses less digits than its factorization.

6982709382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6982709382 is about 83562.6075586443. The cubic root of 6982709382 is about 1911.3548478616.

The spelling of 6982709382 in words is "six billion, nine hundred eighty-two million, seven hundred nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 751 1089 1423 1502 2178 2253 2846 3267 4269 4506 6534 6759 8261 8538 12807 13518 15653 16522 20277 24783 25614 31306 38421 40554 46959 49566 74349 76842 90871 93918 140877 148698 172183 181742 223047 272613 281754 344366 422631 446094 516549 545226 817839 845262 1033098 1068673 1549647 1635678 2137346 2453517 3099294 3206019 4648941 4907034 6412038 9297882 9618057 11755403 19236114 23510806 28854171 35266209 57708342 70532418 105798627 129309433 211597254 258618866 317395881 387928299 634791762 775856598 1163784897 2327569794 3491354691 6982709382