Search a number
-
+
4109685570 = 2325172779697
BaseRepresentation
bin1111010011110100…
…1101001101000010
3101121102002122202200
43310331031031002
531404034414240
61515444454030
7203561515404
oct36475151502
911542078680
104109685570
1118198a0661
129683aa316
13506576913
142adb46b74
15190bde930
hexf4f4d342

4109685570 has 96 divisors (see below), whose sum is σ = 11355737328. Its totient is φ = 1027620864.

The previous prime is 4109685551. The next prime is 4109685577. The reversal of 4109685570 is 755869014.

4109685570 is a `hidden beast` number, since 4 + 1 + 0 + 96 + 8 + 557 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 847333881 + 3262351689 = 29109^2 + 57117^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4109685577) 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 47 ways as a sum of consecutive naturals, for example, 418962 + ... + 428658.

Almost surely, 24109685570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109685570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677868664).

4109685570 is an abundant number, since it is smaller than the sum of its proper divisors (7246051758).

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

4109685570 is a wasteful number, since it uses less digits than its factorization.

4109685570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 4109685570 is about 64106.8293553815. The cubic root of 4109685570 is about 1601.7799942888.

The spelling of 4109685570 in words is "four billion, one hundred nine million, six hundred eighty-five thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 277 306 510 554 765 831 1385 1530 1662 2493 2770 4155 4709 4986 8310 9418 9697 12465 14127 19394 23545 24930 28254 29091 42381 47090 48485 58182 70635 84762 87273 96970 141270 145455 164849 174546 211905 290910 329698 423810 436365 494547 824245 872730 989094 1483641 1648490 2472735 2686069 2967282 4945470 5372138 7418205 8058207 13430345 14836410 16116414 24174621 26860690 40291035 45663173 48349242 80582070 91326346 120873105 136989519 228315865 241746210 273979038 410968557 456631730 684947595 821937114 1369895190 2054842785 4109685570