Search a number
-
+
5713086173184 = 212310132379
BaseRepresentation
bin101001100100010111001…
…1110001101000000000000
3202020011110210120000000000
41103020232132031000000
51222100400030020214
620052320000000000
71126520413140105
oct123105636150000
922204423500000
105713086173184
1119029a7228815
12783299000000
13325984715040
1415a72ca48aac
159d92559d809
hex5322e78d000

5713086173184 has 1144 divisors, whose sum is σ = 19501478787840. Its totient is φ = 1660159328256.

The previous prime is 5713086173153. The next prime is 5713086173209. The reversal of 5713086173184 is 4813716803175.

5713086173184 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 0 + 8 + 617 + 3 + 18 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5713086173184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 72317546457 + ... + 72317546535.

Almost surely, 25713086173184 is an apocalyptic number.

5713086173184 is a gapful number since it is divisible by the number (54) 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 5713086173184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750739393920).

5713086173184 is an abundant number, since it is smaller than the sum of its proper divisors (13788392614656).

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

5713086173184 is an frugal number, since it uses more digits than its factorization.

5713086173184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 5713086173184 in words is "five trillion, seven hundred thirteen billion, eighty-six million, one hundred seventy-three thousand, one hundred eighty-four".