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6742100666400 = 2535211255382601
BaseRepresentation
bin110001000011100010010…
…0000111110100000100000
3212212112112120212101200220
41202013010200332200200
51340430310232311100
622201140035443040
71264046353046301
oct142070440764040
925775476771626
106742100666400
11216a344072920
1290a7b7a56480
1339ba14b41558
141944686827a8
15ba59e171aa0
hex621c483e820

6742100666400 has 144 divisors (see below), whose sum is σ = 23940586641888. Its totient is φ = 1634448640000.

The previous prime is 6742100666393. The next prime is 6742100666419. The reversal of 6742100666400 is 46660012476.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127664901 + ... + 127717700.

It is an arithmetic number, because the mean of its divisors is an integer number (166254073902).

Almost surely, 26742100666400 is an apocalyptic number.

6742100666400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6742100666400 is an abundant number, since it is smaller than the sum of its proper divisors (17198485975488).

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

6742100666400 is a wasteful number, since it uses less digits than its factorization.

6742100666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255382635 (or 255382622 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

Adding to 6742100666400 its reverse (46660012476), we get a palindrome (6788760678876).

The spelling of 6742100666400 in words is "six trillion, seven hundred forty-two billion, one hundred million, six hundred sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 255382601 510765202 766147803 1021530404 1276913005 1532295606 2043060808 2553826010 2809208611 3064591212 3830739015 4086121616 5107652020 5618417222 6129182424 6384565025 7661478030 8172243232 8427625833 10215304040 11236834444 12258364848 12769130050 14046043055 15322956060 16855251666 19153695075 20430608080 22473668888 24516729696 25538260100 28092086110 30645912120 33710503332 38307390150 40861216160 42138129165 44947337776 51076520200 56184172220 61291824240 67421006664 70230215275 76614780300 84276258330 89894675552 102153040400 112368344440 122583648480 134842013328 140460430550 153229560600 168552516660 204306080800 210690645825 224736688880 269684026656 280920861100 306459121200 337105033320 421381291650 449473377760 561841722200 612918242400 674210066640 842762583300 1123683444400 1348420133280 1685525166600 2247366888800 3371050333200 6742100666400