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1066311114630 = 2352331331150607
BaseRepresentation
bin11111000010001010001…
…10000101111110000110
310202221100001111001221120
433201011012011332012
5114432301121132010
62133505003454410
7140016116632566
oct17410506057606
93687301431846
101066311114630
11381246909873
121527a9527406
13797253b1588
1439877172da6
151cb0d0a8e70
hexf845185f86

1066311114630 has 128 divisors (see below), whose sum is σ = 2764902629376. Its totient is φ = 262415894400.

The previous prime is 1066311114619. The next prime is 1066311114731. The reversal of 1066311114630 is 364111136601.

It is a super-2 number, since 2×10663111146302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066311114591 and 1066311114600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7004787 + ... + 7155393.

It is an arithmetic number, because the mean of its divisors is an integer number (21600801792).

Almost surely, 21066311114630 is an apocalyptic number.

1066311114630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066311114630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382451314688).

1066311114630 is an abundant number, since it is smaller than the sum of its proper divisors (1698591514746).

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

1066311114630 is a wasteful number, since it uses less digits than its factorization.

1066311114630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151002.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 1066311114630 in words is "one trillion, sixty-six billion, three hundred eleven million, one hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 331 345 465 662 690 713 930 993 1426 1655 1986 2139 3310 3565 4278 4965 7130 7613 9930 10261 10695 15226 20522 21390 22839 30783 38065 45678 51305 61566 76130 102610 114195 150607 153915 228390 236003 301214 307830 451821 472006 708009 753035 903642 1180015 1416018 1506070 2259105 2360030 3463961 3540045 4518210 4668817 6927922 7080090 9337634 10391883 14006451 17319805 20783766 23344085 28012902 34639610 46688170 49850917 51959415 70032255 99701834 103918830 107382791 140064510 149552751 214765582 249254585 299105502 322148373 498509170 536913955 644296746 747763755 1073827910 1146571091 1495527510 1545378427 1610741865 2293142182 3090756854 3221483730 3439713273 4636135281 5732855455 6879426546 7726892135 9272270562 11465710910 15453784270 17198566365 23180676405 34397132730 35543703821 46361352810 71087407642 106631111463 177718519105 213262222926 355437038210 533155557315 1066311114630