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204802407601 = 112411412
BaseRepresentation
bin1011111010111100101…
…1001011110010110001
3201120122000212021020121
42332233023023302301
511323413404020401
6234030202210241
720540123512231
oct2765713136261
9646560767217
10204802407601
1179946690100
1233837ab3981
131640b25758c
149cabc29cc1
1554d9d99ca1
hex2faf2cbcb1

204802407601 has 9 divisors (see below), whose sum is σ = 225118862059. Its totient is φ = 186179481400.

The previous prime is 204802407571. The next prime is 204802407611. The reversal of 204802407601 is 106704208402.

It is a happy number.

The square root of 204802407601 is 452551.

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

It can be written as a sum of positive squares in only one way, i.e., 116724039201 + 88078368400 = 341649^2 + 296780^2 .

It is a de Polignac number, because none of the positive numbers 2k-204802407601 is a prime.

It is a super-2 number, since 2×2048024076012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204802407611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4957491 + ... + 4998631.

Almost surely, 2204802407601 is an apocalyptic number.

204802407601 is the 452551-st square number.

204802407601 is the 226276-th centered octagonal number.

It is an amenable number.

204802407601 is a deficient number, since it is larger than the sum of its proper divisors (20316454458).

204802407601 is an frugal number, since it uses more digits than its factorization.

204802407601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82304 (or 41152 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 204802407601 in words is "two hundred four billion, eight hundred two million, four hundred seven thousand, six hundred one".

Divisors: 1 11 121 41141 452551 4978061 1692581881 18618400691 204802407601