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6011214160 = 245729715809
BaseRepresentation
bin1011001100100101…
…11101100101010000
3120111221011022121111
411212102331211100
544302332323120
62432253103104
7301651322500
oct54622754520
916457138544
106011214160
1126051a0196
1211b9187a94
1374a4c4173
144104cba00
15252b0075a
hex1664bd950

6011214160 has 120 divisors (see below), whose sum is σ = 16426526760. Its totient is φ = 2039611392.

The previous prime is 6011214137. The next prime is 6011214169. The reversal of 6011214160 is 614121106.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 6011211024 = 56^2 + 77532^2 .

It is a super-2 number, since 2×60112141602 = 72269391354769011200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011214169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372336 + ... + 388144.

It is an arithmetic number, because the mean of its divisors is an integer number (136887723).

Almost surely, 26011214160 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 6011214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213263380).

6011214160 is an abundant number, since it is smaller than the sum of its proper divisors (10415312600).

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

6011214160 is a wasteful number, since it uses less digits than its factorization.

6011214160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15933 (or 15920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 6011214160 is about 77532.0202239049. The cubic root of 6011214160 is about 1818.2519705478.

Adding to 6011214160 its reverse (614121106), we get a palindrome (6625335266).

The spelling of 6011214160 in words is "six billion, eleven million, two hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 97 98 112 140 194 196 245 280 388 392 485 490 560 679 776 784 970 980 1358 1552 1940 1960 2716 3395 3880 3920 4753 5432 6790 7760 9506 10864 13580 15809 19012 23765 27160 31618 38024 47530 54320 63236 76048 79045 95060 110663 126472 158090 190120 221326 252944 316180 380240 442652 553315 632360 774641 885304 1106630 1264720 1533473 1549282 1770608 2213260 3066946 3098564 3873205 4426520 6133892 6197128 7667365 7746410 8853040 10734311 12267784 12394256 15334730 15492820 21468622 24535568 30669460 30985640 42937244 53671555 61338920 61971280 75140177 85874488 107343110 122677840 150280354 171748976 214686220 300560708 375700885 429372440 601121416 751401770 858744880 1202242832 1502803540 3005607080 6011214160