Search a number
-
+
5617786216 = 237416140111
BaseRepresentation
bin1010011101101100…
…01001110101101000
3112111111212002221011
411032312021311220
543001123124331
62325240353304
7256133252320
oct51666116550
915444762834
105617786216
112423103a29
121109475834
136b6b44073
143b4158280
1522d2d93b1
hex14ed89d68

5617786216 has 64 divisors (see below), whose sum is σ = 12534197760. Its totient is φ = 2310336000.

The previous prime is 5617786211. The next prime is 5617786247. The reversal of 5617786216 is 6126877165.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5617786216.

It is not an unprimeable number, because it can be changed into a prime (5617786211) 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 15 ways as a sum of consecutive naturals, for example, 120001 + ... + 160111.

It is an arithmetic number, because the mean of its divisors is an integer number (195846840).

Almost surely, 25617786216 is an apocalyptic number.

5617786216 is a gapful number since it is divisible by the number (56) 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 5617786216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267098880).

5617786216 is an abundant number, since it is smaller than the sum of its proper divisors (6916411544).

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

5617786216 is a wasteful number, since it uses less digits than its factorization.

5617786216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40226 (or 40222 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 5617786216 is about 74951.8926779037. The cubic root of 5617786216 is about 1777.6860704233.

The spelling of 5617786216 in words is "five billion, six hundred seventeen million, seven hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 61 82 122 164 244 287 328 427 488 574 854 1148 1708 2296 2501 3416 5002 10004 17507 20008 35014 40111 70028 80222 140056 160444 280777 320888 561554 1123108 1644551 2246216 2446771 3289102 4893542 6578204 9787084 11511857 13156408 17127397 19574168 23023714 34254794 46047428 68509588 92094856 100317611 137019176 200635222 401270444 702223277 802540888 1404446554 2808893108 5617786216