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560969542441 = 721127121372
BaseRepresentation
bin10000010100111000110…
…00111110101100101001
31222121221221011101012001
420022130120332230221
533142331200324231
61105412244051001
755346230302400
oct10123430765451
91877857141161
10560969542441
111a69a6756100
1290877693a61
1340b8c70cac9
141d218776637
15e8d354cb61
hex829c63eb29

560969542441 has 81 divisors (see below), whose sum is σ = 732866573271. Its totient is φ = 427816804800.

The previous prime is 560969542433. The next prime is 560969542447. The reversal of 560969542441 is 144245969065.

The square root of 560969542441 is 748979.

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., 329516181225 + 231453361216 = 574035^2 + 481096^2 .

It is not a de Polignac number, because 560969542441 - 23 = 560969542433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (560969542447) 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 80 ways as a sum of consecutive naturals, for example, 4094668125 + ... + 4094668261.

Almost surely, 2560969542441 is an apocalyptic number.

560969542441 is the 748979-th square number.

560969542441 is the 374490-th centered octagonal number.

It is an amenable number.

560969542441 is a deficient number, since it is larger than the sum of its proper divisors (171897030830).

560969542441 is an equidigital number, since it uses as much as digits as its factorization.

560969542441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 560969542441 in words is "five hundred sixty billion, nine hundred sixty-nine million, five hundred forty-two thousand, four hundred forty-one".

Divisors: 1 7 11 49 71 77 121 137 497 539 781 847 959 1507 3479 5041 5467 5929 6713 8591 9727 10549 16577 18769 35287 38269 55451 60137 68089 73843 106997 116039 131383 206459 247009 388157 420959 476623 609961 690617 748979 812273 919681 1176967 1332599 1445213 2271049 2717099 4269727 4834319 5242853 7596787 8238769 9328193 10116491 14658589 15897343 29888089 33840233 53177509 57671383 65297351 83564657 94614529 102610123 111281401 161244479 372242563 584952599 662301703 718270861 1040759819 1128711353 4094668193 4636111921 7285318733 7900979471 11448358009 50997231131 80138506063 560969542441