Search a number
-
+
6070041612 = 2233677511117
BaseRepresentation
bin1011010011100110…
…10111110000001100
3120200000212001201000
411221303113300030
544412412312422
62442154020300
7303264334215
oct55163276014
916600761630
106070041612
112635420118
121214a17690
137597504cb
1441824240c
15257d70cac
hex169cd7c0c

6070041612 has 96 divisors (see below), whose sum is σ = 16007613440. Its totient is φ = 1988712000.

The previous prime is 6070041569. The next prime is 6070041643. The reversal of 6070041612 is 2161400706.

6070041612 is a `hidden beast` number, since 6 + 0 + 7 + 0 + 0 + 41 + 612 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 5433678 + ... + 5434794.

Almost surely, 26070041612 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 6070041612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003806720).

6070041612 is an abundant number, since it is smaller than the sum of its proper divisors (9937571828).

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

6070041612 is a wasteful number, since it uses less digits than its factorization.

6070041612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6070041612 is about 77910.4717736968. The cubic root of 6070041612 is about 1824.1640369267.

The spelling of 6070041612 in words is "six billion, seventy million, forty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 751 804 1117 1206 1502 1809 2234 2253 2412 3004 3351 3618 4468 4506 6702 6759 7236 9012 10053 13404 13518 20106 20277 27036 30159 40212 40554 50317 60318 74839 81108 100634 120636 149678 150951 201268 224517 299356 301902 449034 452853 603804 673551 838867 898068 905706 1347102 1358559 1677734 1811412 2020653 2516601 2694204 2717118 3355468 4041306 5033202 5434236 7549803 8082612 10066404 15099606 22649409 30199212 45298818 56204089 90597636 112408178 168612267 224816356 337224534 505836801 674449068 1011673602 1517510403 2023347204 3035020806 6070041612