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204071410961 = 1130771984047
BaseRepresentation
bin1011111000001110011…
…0101001110100010001
3201111202002100210100222
42332003212221310101
511320414240122321
6233425450322425
720513036241545
oct2760346516421
9644662323328
10204071410961
1179600a9a550
1233673129415
13163229846a2
149c3cb03a25
155495b033ab
hex2f839a9d11

204071410961 has 16 divisors (see below), whose sum is σ = 223661813760. Its totient is φ = 184655785680.

The previous prime is 204071410927. The next prime is 204071410969. The reversal of 204071410961 is 169014170402.

204071410961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 204071410961 - 234 = 186891541777 is a prime.

It is a super-2 number, since 2×2040714109612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204071410969) 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 15 ways as a sum of consecutive naturals, for example, 2386040 + ... + 2470086.

It is an arithmetic number, because the mean of its divisors is an integer number (13978863360).

Almost surely, 2204071410961 is an apocalyptic number.

It is an amenable number.

204071410961 is a deficient number, since it is larger than the sum of its proper divisors (19590402799).

204071410961 is a wasteful number, since it uses less digits than its factorization.

204071410961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85084.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 204071410961 in words is "two hundred four billion, seventy-one million, four hundred ten thousand, nine hundred sixty-one".

Divisors: 1 11 307 719 3377 7909 84047 220733 924517 2428063 25802429 60429793 283826719 664727723 18551946451 204071410961