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204737245441 = 23210321912
BaseRepresentation
bin1011111010101101001…
…0100111000100000001
3201120110111020200120021
42332223102213010001
511323300213323231
6234015513413441
720535402605131
oct2765322470401
9646414220507
10204737245441
1179912923883
123381a10a281
13163ca8c0aa1
149ca3306ac1
1554d42c7811
hex2fab4a7101

204737245441 has 27 divisors (see below), whose sum is σ = 217261450497. Its totient is φ = 192918946440.

The previous prime is 204737245423. The next prime is 204737245451. The reversal of 204737245441 is 144542737402.

The square root of 204737245441 is 452479.

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

It is not a de Polignac number, because 204737245441 - 217 = 204737114369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204737245451) 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, 1071922656 + ... + 1071922846.

Almost surely, 2204737245441 is an apocalyptic number.

204737245441 is the 452479-th square number.

204737245441 is the 226240-th centered octagonal number.

It is an amenable number.

204737245441 is a deficient number, since it is larger than the sum of its proper divisors (12524205056).

204737245441 is an frugal number, since it uses more digits than its factorization.

204737245441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 204737245441 in words is "two hundred four billion, seven hundred thirty-seven million, two hundred forty-five thousand, four hundred forty-one".

Divisors: 1 23 103 191 529 2369 4393 10609 19673 36481 54487 101039 244007 452479 839063 2026319 3757543 5612161 10407017 19298449 46605337 86423489 387026929 1071922751 1987740247 8901619367 204737245441