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65240520114561 = 31123891935004127
BaseRepresentation
bin11101101010101111111100…
…00001101100000110000001
322112222221012000112102102120
432311113332001230012001
532022400041122131221
6350431025311434453
716512320623066431
oct1665277601540601
9275887160472376
1065240520114561
1119873392873650
127398072225a29
132a532019bc86c
14121792d87c2c1
157820c7c1d5c6
hex3b55fe06c181

65240520114561 has 64 divisors (see below), whose sum is σ = 100652630261760. Its totient is φ = 37201873674240.

The previous prime is 65240520114547. The next prime is 65240520114619. The reversal of 65240520114561 is 16541102504256.

It is a happy number.

65240520114561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65240520114561 - 211 = 65240520112513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65240520114061) 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 63 ways as a sum of consecutive naturals, for example, 10535280 + ... + 15539406.

It is an arithmetic number, because the mean of its divisors is an integer number (1572697347840).

Almost surely, 265240520114561 is an apocalyptic number.

It is an amenable number.

65240520114561 is a deficient number, since it is larger than the sum of its proper divisors (35412110147199).

65240520114561 is a wasteful number, since it uses less digits than its factorization.

65240520114561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004446.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 65240520114561 in words is "sixty-five trillion, two hundred forty billion, five hundred twenty million, one hundred fourteen thousand, five hundred sixty-one".

Divisors: 1 3 11 23 33 69 89 193 253 267 579 759 979 2047 2123 2937 4439 6141 6369 13317 17177 22517 48829 51531 67551 146487 188947 395071 566841 1185213 4345781 5004127 13037343 15012381 55045397 115094921 165136191 345284763 445367303 965796511 1266044131 1336101909 2897389533 3798132393 4899040333 10243447969 10623761621 14697120999 22213319753 30730343907 31871284863 66639959259 85955889479 112677927659 244346517283 257867668437 338033782977 733039551849 945514784269 1976985458017 2836544352807 5930956374051 21746840038187 65240520114561