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205415142614513 = 135310112792307923
BaseRepresentation
bin101110101101001011110000…
…100110110110010111110001
3222221022111101110211001222222
4232231023300212312113301
5203411010203002131023
62004514225213010425
761160516504140106
oct5655136046662761
9887274343731888
10205415142614513
115a4a7088931657
121b0569b7783a15
138a80745c218c0
1438a22086b8aad
1518b34bc78ecc8
hexbad2f09b65f1

205415142614513 has 32 divisors (see below), whose sum is σ = 227799853424640. Its totient is φ = 184050317318400.

The previous prime is 205415142614509. The next prime is 205415142614551. The reversal of 205415142614513 is 315416241514502.

It is not a de Polignac number, because 205415142614513 - 22 = 205415142614509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205415142617513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87850370 + ... + 90158292.

It is an arithmetic number, because the mean of its divisors is an integer number (7118745419520).

Almost surely, 2205415142614513 is an apocalyptic number.

It is an amenable number.

205415142614513 is a deficient number, since it is larger than the sum of its proper divisors (22384710810127).

205415142614513 is a wasteful number, since it uses less digits than its factorization.

205415142614513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309369.

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 205415142614513 in words is "two hundred five trillion, four hundred fifteen billion, one hundred forty-two million, six hundred fourteen thousand, five hundred thirteen".

Divisors: 1 13 53 101 689 1279 1313 5353 16627 67787 69589 129179 881231 1679327 2307923 6846487 30002999 89004331 122319919 233100223 1590158947 2951833517 3030302899 12354311819 38373835721 156447176401 160606053647 298135185217 2033813293213 3875757407821 15801164816501 205415142614513