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6611139000 = 23345381619
BaseRepresentation
bin1100010100000110…
…11111100110111000
3122001202000122210000
412022003133212320
5102014422422000
63012003353000
7322554516504
oct61203374670
918052018700
106611139000
1128928a7644
121346082760
1381489478b
1446a055304
1528a606000
hex18a0df9b8

6611139000 has 160 divisors (see below), whose sum is σ = 23109886800. Its totient is φ = 1762948800.

The previous prime is 6611138987. The next prime is 6611139043. The reversal of 6611139000 is 9311166.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 40191 + ... + 121809.

Almost surely, 26611139000 is an apocalyptic number.

6611139000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6611139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554943400).

6611139000 is an abundant number, since it is smaller than the sum of its proper divisors (16498747800).

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

6611139000 is a wasteful number, since it uses less digits than its factorization.

6611139000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81652 (or 81629 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 6611139000 is about 81308.9109507685. The cubic root of 6611139000 is about 1876.8321291783.

It can be divided in two parts, 66111 and 39000, that added together give a triangular number (105111 = T458).

The spelling of 6611139000 in words is "six billion, six hundred eleven million, one hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 81619 163238 244857 326476 408095 489714 652952 734571 816190 979428 1224285 1469142 1632380 1958856 2040475 2203713 2448570 2938284 3264760 3672855 4080950 4407426 4897140 5876568 6121425 6611139 7345710 8161900 8814852 9794280 10202375 11018565 12242850 13222278 14691420 16323800 17629704 18364275 20404750 22037130 24485700 26444556 29382840 30607125 33055695 36728550 40809500 44074260 48971400 52889112 55092825 61214250 66111390 73457100 81619000 88148520 91821375 110185650 122428500 132222780 146914200 165278475 183642750 220371300 244857000 264445560 275464125 330556950 367285500 440742600 550928250 661113900 734571000 826392375 1101856500 1322227800 1652784750 2203713000 3305569500 6611139000