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516482427105 = 325314310398287
BaseRepresentation
bin1111000010000001100…
…00000110100011100001
31211101010112210202121200
413201000300012203201
531430224000131410
61033134014511413
752212626123601
oct7410060064341
91741115722550
10516482427105
1118a047957987
1284120b05569
133991cb45618
141add8294c01
15d67cb703c0
hex7840c068e1

516482427105 has 96 divisors (see below), whose sum is σ = 946630164480. Its totient is φ = 260090248320.

The previous prime is 516482427101. The next prime is 516482427121. The reversal of 516482427105 is 501724284615.

516482427105 is a `hidden beast` number, since 516 + 4 + 8 + 2 + 4 + 27 + 105 = 666.

It is not a de Polignac number, because 516482427105 - 22 = 516482427101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (516482427101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62320272 + ... + 62328558.

It is an arithmetic number, because the mean of its divisors is an integer number (9860730880).

Almost surely, 2516482427105 is an apocalyptic number.

It is an amenable number.

516482427105 is a deficient number, since it is larger than the sum of its proper divisors (430147737375).

516482427105 is a wasteful number, since it uses less digits than its factorization.

516482427105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 516482427105 in words is "five hundred sixteen billion, four hundred eighty-two million, four hundred twenty-seven thousand, one hundred five".

Divisors: 1 3 5 9 15 31 43 45 93 129 155 215 279 387 465 645 1039 1333 1395 1935 3117 3999 5195 6665 8287 9351 11997 15585 19995 24861 32209 41435 44677 46755 59985 74583 96627 124305 134031 161045 223385 256897 289881 356341 372915 402093 483135 670155 770691 1069023 1284485 1384987 1449405 1781705 2010465 2312073 3207069 3853455 4154961 5345115 6924935 8610193 11046571 11560365 12464883 16035345 20774805 25830579 33139713 43050965 55232855 62324415 77491737 99419139 129152895 165698565 266915983 370238299 387458685 497095695 800747949 1110714897 1334579915 1851191495 2402243847 3332144691 4003739745 5553574485 11477387269 12011219235 16660723455 34432161807 57386936345 103296485421 172160809035 516482427105