Search a number
-
+
162456242151168 = 28327171931185547
BaseRepresentation
bin100100111100000011001010…
…100110101101111100000000
3210022012122221211122120110200
4210330003022212231330000
5132243140340442314133
61333303211202525200
746135035061113210
oct4474031246557400
9708178854576420
10162456242151168
114784433a518029
1216279136966800
136c85733927604
142c18cd1932240
1513bacd6609913
hex93c0ca9adf00

162456242151168 has 432 divisors, whose sum is σ = 596636914648320. Its totient is φ = 41386462838784.

The previous prime is 162456242151163. The next prime is 162456242151199. The reversal of 162456242151168 is 861151242654261.

162456242151168 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 5 + 6 + 2 + 421 + 51 + 168 = 666.

It is a super-2 number, since 2×1624562421511682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162456242151163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10383430 + ... + 20802117.

Almost surely, 2162456242151168 is an apocalyptic number.

162456242151168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162456242151168 is an abundant number, since it is smaller than the sum of its proper divisors (434180672497152).

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

162456242151168 is a wasteful number, since it uses less digits than its factorization.

162456242151168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185612 (or 31185595 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 162456242151168 in words is "one hundred sixty-two trillion, four hundred fifty-six billion, two hundred forty-two million, one hundred fifty-one thousand, one hundred sixty-eight".