Search a number
-
+
5614882198380 = 223357213217233317
BaseRepresentation
bin101000110110101000100…
…0011110001001101101100
3201212202222210110012011000
41101231101003301031230
51213443234320322010
615535235152000300
71116443005132500
oct121552103611554
921782883405130
105614882198380
111875292691a64
12768250830090
13319634033400
14155a94348300
159b0c8d847c0
hex51b510f136c

5614882198380 has 1728 divisors, whose sum is σ = 23472033137280. Its totient is φ = 1106703876096.

The previous prime is 5614882198351. The next prime is 5614882198381. The reversal of 5614882198380 is 838912884165.

5614882198380 is a `hidden beast` number, since 5 + 6 + 148 + 8 + 21 + 98 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5614882198381) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17712561982 + ... + 17712562298.

It is an arithmetic number, because the mean of its divisors is an integer number (13583352510).

Almost surely, 25614882198380 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 5614882198380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736016568640).

5614882198380 is an abundant number, since it is smaller than the sum of its proper divisors (17857150938900).

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

5614882198380 is a wasteful number, since it uses less digits than its factorization.

5614882198380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 5614882198380 in words is "five trillion, six hundred fourteen billion, eight hundred eighty-two million, one hundred ninety-eight thousand, three hundred eighty".