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6106440450 = 23521123110853
BaseRepresentation
bin1011010111111100…
…01110001100000010
3120202120100022112010
411223332032030002
5100001222043300
62445534113350
7304215613245
oct55376161402
916676308463
106106440450
112653a21100
12122504b856
13764155b96
1441cdd925c
1525b160a50
hex16bf8e302

6106440450 has 144 divisors (see below), whose sum is σ = 17184400128. Its totient is φ = 1432464000.

The previous prime is 6106440391. The next prime is 6106440451. The reversal of 6106440450 is 540446016.

It is a super-2 number, since 2×61064404502 = 74577229938792405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6106440451) 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 71 ways as a sum of consecutive naturals, for example, 557224 + ... + 568076.

It is an arithmetic number, because the mean of its divisors is an integer number (119336112).

Almost surely, 26106440450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106440450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592200064).

6106440450 is an abundant number, since it is smaller than the sum of its proper divisors (11077959678).

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

6106440450 is a wasteful number, since it uses less digits than its factorization.

6106440450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6106440450 is about 78143.7166379998. The cubic root of 6106440450 is about 1827.8029562312.

Adding to 6106440450 its reverse (540446016), we get a palindrome (6646886466).

The spelling of 6106440450 in words is "six billion, one hundred six million, four hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 121 150 155 165 186 242 275 310 330 341 363 465 550 605 682 726 775 825 930 1023 1210 1550 1650 1705 1815 2046 2325 3025 3410 3630 3751 4650 5115 6050 7502 8525 9075 10230 10853 11253 17050 18150 18755 21706 22506 25575 32559 37510 51150 54265 56265 65118 93775 108530 112530 119383 162795 187550 238766 271325 281325 325590 336443 358149 542650 562650 596915 672886 716298 813975 1009329 1193830 1313213 1627950 1682215 1790745 2018658 2626426 2984575 3364430 3581490 3700873 3939639 5046645 5969150 6566065 7401746 7879278 8411075 8953725 10093290 11102619 13132130 16822150 17907450 18504365 19698195 22205238 25233225 32830325 37008730 39396390 40709603 50466450 55513095 65660650 81419206 92521825 98490975 111026190 122128809 185043650 196981950 203548015 244257618 277565475 407096030 555130950 610644045 1017740075 1221288090 2035480150 3053220225 6106440450