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6938169328 = 2423247107163
BaseRepresentation
bin1100111011000110…
…00000111111110000
3122220112101112001101
412131203000333300
5103202132404303
63104245014144
7333635315626
oct63543007760
918815345041
106938169328
112a40463342
1214176b4354
1386756794c
1449b663516
152a91a3d1d
hex19d8c0ff0

6938169328 has 120 divisors (see below), whose sum is σ = 14574567168. Its totient is φ = 3197563776.

The previous prime is 6938169323. The next prime is 6938169349. The reversal of 6938169328 is 8239618396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6938169323) 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 23 ways as a sum of consecutive naturals, for example, 42565375 + ... + 42565537.

Almost surely, 26938169328 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 6938169328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287283584).

6938169328 is an abundant number, since it is smaller than the sum of its proper divisors (7636397840).

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

6938169328 is a wasteful number, since it uses less digits than its factorization.

6938169328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 342 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The square root of 6938169328 is about 83295.6741253710. The cubic root of 6938169328 is about 1907.2822405319.

The spelling of 6938169328 in words is "six billion, nine hundred thirty-eight million, one hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 47 92 94 107 163 184 188 214 326 368 376 428 529 652 752 856 1058 1081 1304 1712 2116 2162 2461 2608 3749 4232 4324 4922 5029 7498 7661 8464 8648 9844 10058 14996 15322 17296 17441 19688 20116 24863 29992 30644 34882 39376 40232 49726 56603 59984 61288 69764 80464 86227 99452 113206 115667 122576 139528 172454 176203 198904 226412 231334 279056 344908 352406 397808 401143 452824 462668 689816 704812 802286 819727 905648 925336 1379632 1409624 1604572 1639454 1850672 2660341 2819248 3209144 3278908 4052669 5320682 6418288 6557816 8105338 9226289 10641364 13115632 16210676 18452578 18853721 21282728 32421352 36905156 37707442 42565456 64842704 73810312 75414884 147620624 150829768 301659536 433635583 867271166 1734542332 3469084664 6938169328