Search a number
-
+
4187181056 = 2121760133
BaseRepresentation
bin1111100110010011…
…0101000000000000
3101210210220211120212
43321210311000000
532033404243211
61531253453252
7205522310642
oct37144650000
911723824525
104187181056
111859611113
1298a341228
1351963b036
142ba15a892
151978eb38b
hexf9935000

4187181056 has 52 divisors (see below), whose sum is σ = 8866036692. Its totient is φ = 1970405376.

The previous prime is 4187181043. The next prime is 4187181059. The reversal of 4187181056 is 6501817814.

It can be written as a sum of positive squares in 2 ways, for example, as 2556313600 + 1630867456 = 50560^2 + 40384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187181059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39566 + ... + 99698.

Almost surely, 24187181056 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 4187181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433018346).

4187181056 is an abundant number, since it is smaller than the sum of its proper divisors (4678855636).

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

4187181056 is an equidigital number, since it uses as much as digits as its factorization.

4187181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60174 (or 60152 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 41.

The square root of 4187181056 is about 64708.4311044550. The cubic root of 4187181056 is about 1611.7855087981.

The spelling of 4187181056 in words is "four billion, one hundred eighty-seven million, one hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 60133 69632 120266 240532 481064 962128 1022261 1924256 2044522 3848512 4089044 7697024 8178088 15394048 16356176 30788096 32712352 61576192 65424704 123152384 130849408 246304768 261698816 523397632 1046795264 2093590528 4187181056