Search a number
-
+
168425239515625 = 56476
BaseRepresentation
bin100110010010111010001110…
…100100101001000111101001
3211002100021222112021001121001
4212102322032210221013221
5134033434342304000000
61354113253055515001
750322215305430011
oct4622721644510751
9732307875231531
10168425239515625
1149735819962534
1216a81b33b28a61
1372c957cc71641
142d83b7a080c41
1514711d891646a
hex992e8e9291e9

168425239515625 has 49 divisors (see below), whose sum is σ = 215105568820507. Its totient is φ = 131873379025000.

The previous prime is 168425239515601. The next prime is 168425239515629. The reversal of 168425239515625 is 526515932524861.

It is a happy number.

The square root of 168425239515625 is 12977875.

The cubic root of 168425239515625 is 55225.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 147556678638681 + 20868560876944 = 12147291^2 + 4568212^2 .

It is not a de Polignac number, because 168425239515625 - 217 = 168425239384553 is a prime.

It is a super-3 number, since 3×1684252395156253 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168425239515629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 3583515734352 + ... + 3583515734398.

Almost surely, 2168425239515625 is an apocalyptic number.

168425239515625 is the 12977875-th square number.

168425239515625 is the 6488938-th centered octagonal number.

It is an amenable number.

168425239515625 is a deficient number, since it is larger than the sum of its proper divisors (46680329304882).

168425239515625 is an frugal number, since it uses more digits than its factorization.

168425239515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 52 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 64.

The spelling of 168425239515625 in words is "one hundred sixty-eight trillion, four hundred twenty-five billion, two hundred thirty-nine million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 47 125 235 625 1175 2209 3125 5875 11045 15625 29375 55225 103823 146875 276125 519115 734375 1380625 2595575 4879681 6903125 12977875 24398405 34515625 64889375 121992025 229345007 324446875 609960125 1146725035 1622234375 3049800625 5733625175 10779215329 15249003125 28668125875 53896076645 76245015625 143340629375 269480383225 716703146875 1347401916125 3583515734375 6737009580625 33685047903125 168425239515625