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20500003902249 = 345030772
BaseRepresentation
bin1001010100101000001110…
…11100110101001100101001
32200120210002112000110210000
410222110013130311030221
510141333001444332444
6111333323301013213
74214035131043134
oct452240734651451
980523075013700
1020500003902249
116594003850333
1223710559b4209
13b591b0199a21
1450c2c3bb921b
152583baeda469
hex12a507735329

20500003902249 has 15 divisors (see below), whose sum is σ = 30623523491847. Its totient is φ = 13666642102008.

The previous prime is 20500003902241. The next prime is 20500003902253. The reversal of 20500003902249 is 94220930000502.

The square root of 20500003902249 is 4527693.

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

20500003902249 is a `hidden beast` number, since 2 + 0 + 500 + 0 + 0 + 3 + 90 + 22 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1293417171225 + 19206586731024 = 1137285^2 + 4382532^2 .

It is not a de Polignac number, because 20500003902249 - 23 = 20500003902241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20500003902241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40497699 + ... + 41000775.

Almost surely, 220500003902249 is an apocalyptic number.

20500003902249 is the 4527693-rd square number.

20500003902249 is the 2263847-th centered octagonal number.

It is an amenable number.

20500003902249 is a deficient number, since it is larger than the sum of its proper divisors (10123519589598).

20500003902249 is an frugal number, since it uses more digits than its factorization.

20500003902249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006166 (or 503080 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 20500003902249 by its sum of digits (36), we get a square (738000140480964 = 271661582).

The spelling of 20500003902249 in words is "twenty trillion, five hundred billion, three million, nine hundred two thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 503077 1509231 4527693 13583079 40749237 253086467929 759259403787 2277778211361 6833334634083 20500003902249