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20396124225 = 325295212
BaseRepresentation
bin10010111111101101…
…000010100001000001
31221122102220110112100
4102333231002201001
5313232401433400
613211515421013
71321302124011
oct227755024101
957572813470
1020396124225
118717098014
123b52754769
131c00790079
14db6b5bc41
157e5916100
hex4bfb42841

20396124225 has 27 divisors (see below), whose sum is σ = 36535562089. Its totient is φ = 10876790400.

The previous prime is 20396124211. The next prime is 20396124247. The reversal of 20396124225 is 52242169302.

The square root of 20396124225 is 142815.

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

20396124225 is a `hidden beast` number, since 2 + 0 + 39 + 612 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 815159601 + 19580964624 = 28551^2 + 139932^2 .

It is not a de Polignac number, because 20396124225 - 25 = 20396124193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20396124225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2137465 + ... + 2146985.

Almost surely, 220396124225 is an apocalyptic number.

20396124225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20396124225 is the 142815-th square number.

20396124225 is the 71408-th centered octagonal number.

It is an amenable number.

20396124225 is a deficient number, since it is larger than the sum of its proper divisors (16139437864).

20396124225 is an frugal number, since it uses more digits than its factorization.

20396124225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19058 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 20396124225 by its sum of digits (36), we get a square (734260472100 = 8568902).

The spelling of 20396124225 in words is "twenty billion, three hundred ninety-six million, one hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9521 28563 47605 85689 142815 238025 428445 714075 2142225 90649441 271948323 453247205 815844969 1359741615 2266236025 4079224845 6798708075 20396124225