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4528422304081 = 13217296292
BaseRepresentation
bin100000111100101101100…
…0000001011100101010001
3121000220122112111001121121
41001321123000023211101
51043143202102212311
613344154541522241
7645111345324664
oct101713300134521
917026575431547
104528422304081
111496547375875
1261177b573381
1326b04a4b4900
141192692416db
157cbdbe71b71
hex41e5b00b951

4528422304081 has 27 divisors (see below), whose sum is σ = 5209510812051. Its totient is φ = 3933786365184.

The previous prime is 4528422304067. The next prime is 4528422304117. The reversal of 4528422304081 is 1804032248254.

The square root of 4528422304081 is 2128009.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 173688064081 + 4354734240000 = 416759^2 + 2086800^2 .

It is not a de Polignac number, because 4528422304081 - 219 = 4528421779793 is a prime.

It is a super-2 number, since 2×45284223040812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4528422304181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 470285175 + ... + 470294803.

Almost surely, 24528422304081 is an apocalyptic number.

4528422304081 is the 2128009-th square number.

4528422304081 is the 1064005-th centered octagonal number.

It is an amenable number.

4528422304081 is a deficient number, since it is larger than the sum of its proper divisors (681088507970).

4528422304081 is an frugal number, since it uses more digits than its factorization.

4528422304081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19318 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 4528422304081 in words is "four trillion, five hundred twenty-eight billion, four hundred twenty-two million, three hundred four thousand, eighty-one".

Divisors: 1 13 17 169 221 289 2873 3757 9629 48841 125177 163693 1627301 2128009 2782781 27664117 36176153 92717641 470289989 1205329333 1576199897 15669281329 20490598661 26795398249 266377782593 348340177237 4528422304081