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2493522069921 = 32432122412
BaseRepresentation
bin100100010010010001011…
…111110100100110100001
322211101012211200121201100
4210102101133310212201
5311323213122214141
65145301435425013
7345102541612041
oct44222137644641
98741184617640
102493522069921
11881551225563
123433175b5169
131511a45ba90c
1488989615721
1544ce006e0b6
hex244917f49a1

2493522069921 has 27 divisors (see below), whose sum is σ = 3687765034707. Its totient is φ = 1623556146240.

The previous prime is 2493522069869. The next prime is 2493522069931. The reversal of 2493522069921 is 1299602253942.

The square root of 2493522069921 is 1579089.

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

2493522069921 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 522 + 0 + 6 + 99 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 637824252321 + 1855697817600 = 798639^2 + 1362240^2 .

It is not a de Polignac number, because 2493522069921 - 217 = 2493521938849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2493522069931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203696361 + ... + 203708601.

Almost surely, 22493522069921 is an apocalyptic number.

2493522069921 is the 1579089-th square number.

2493522069921 is the 789545-th centered octagonal number.

It is an amenable number.

2493522069921 is a deficient number, since it is larger than the sum of its proper divisors (1194242964786).

2493522069921 is an frugal number, since it uses more digits than its factorization.

2493522069921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24574 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2493522069921 in words is "two trillion, four hundred ninety-three billion, five hundred twenty-two million, sixty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 43 129 387 1849 5547 12241 16641 36723 110169 526363 1579089 4737267 22633609 67900827 149842081 203702481 449526243 1348578729 6443209483 19329628449 57988885347 277058007769 831174023307 2493522069921