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6975343938640 = 2457115059223831
BaseRepresentation
bin110010110000001001011…
…1001011100110001010000
3220200211120201020021200111
41211200102321130301100
51403241001022014030
622500232340331104
71316644345126330
oct145402271346120
926624521207614
106975343938640
11224a254896530
12947a506a3a94
133b7a064353cc
141a187381d0c0
15c16a0d1962a
hex65812e5cc50

6975343938640 has 160 divisors (see below), whose sum is σ = 20223525611520. Its totient is φ = 2173693708800.

The previous prime is 6975343938601. The next prime is 6975343938649. The reversal of 6975343938640 is 468393435796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6975343938649) 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, 31051525 + ... + 31275355.

It is an arithmetic number, because the mean of its divisors is an integer number (126397035072).

Almost surely, 26975343938640 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 6975343938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111762805760).

6975343938640 is an abundant number, since it is smaller than the sum of its proper divisors (13248181672880).

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

6975343938640 is a wasteful number, since it uses less digits than its factorization.

6975343938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228921 (or 228915 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 67.

The spelling of 6975343938640 in words is "six trillion, nine hundred seventy-five billion, three hundred forty-three million, nine hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 5059 6160 10118 20236 25295 35413 40472 50590 55649 70826 80944 101180 111298 141652 177065 202360 222596 223831 278245 283304 354130 389543 404720 445192 447662 556490 566608 708260 779086 890384 895324 1112980 1119155 1416520 1558172 1566817 1790648 1947715 2225960 2238310 2462141 2833040 3116344 3133634 3581296 3895430 4451920 4476620 4924282 6232688 6267268 7790860 7834085 8953240 9848564 12310705 12534536 15581720 15668170 17234987 17906480 19697128 24621410 25069072 31163440 31336340 34469974 39394256 49242820 62672680 68939948 86174935 98485640 125345360 137879896 172349870 196971280 275759792 344699740 689399480 1132361029 1378798960 2264722058 4529444116 5661805145 7926527203 9058888232 11323610290 12455971319 15853054406 18117776464 22647220580 24911942638 31706108812 39632636015 45294441160 49823885276 62279856595 63412217624 79265272030 87191799233 90588882320 99647770552 124559713190 126824435248 158530544060 174383598466 199295541104 249119426380 317061088120 348767196932 435958996165 498238852760 634122176240 697534393864 871917992330 996477705520 1395068787728 1743835984660 3487671969320 6975343938640