Search a number
-
+
5282168225796 = 223271117294219181
BaseRepresentation
bin100110011011101100111…
…0000101100000000000100
3200200222012101102011112200
41030313121300230000010
51143020340031211141
615122332232514500
71053424024051560
oct114673160540004
920628171364480
105282168225796
111757178291990
1271387754ba30
132c414c7a3197
1414393056c6a0
15926046a6ab6
hex4cdd9c2c004

5282168225796 has 576 divisors, whose sum is σ = 18279155381760. Its totient is φ = 1243662336000.

The previous prime is 5282168225777. The next prime is 5282168225797. The reversal of 5282168225796 is 6975228612825.

It is a happy number.

5282168225796 is a `hidden beast` number, since 5 + 2 + 8 + 216 + 82 + 257 + 96 = 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 (5282168225797) 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 191 ways as a sum of consecutive naturals, for example, 575332326 + ... + 575341506.

It is an arithmetic number, because the mean of its divisors is an integer number (31734644760).

Almost surely, 25282168225796 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 5282168225796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9139577690880).

5282168225796 is an abundant number, since it is smaller than the sum of its proper divisors (12996987155964).

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

5282168225796 is a wasteful number, since it uses less digits than its factorization.

5282168225796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9671 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 5282168225796 in words is "five trillion, two hundred eighty-two billion, one hundred sixty-eight million, two hundred twenty-five thousand, seven hundred ninety-six".