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8006932586568 = 2331719624834771
BaseRepresentation
bin111010010000100001001…
…0111110110000001001000
31001100110021220021021210210
41310201002113312001020
52022141144220232233
625010200053241120
71454324153013666
oct164410227660110
931313256237723
108006932586568
1126077a2783123
12a939696331a0
13461086c559a6
141d977528bc36
15dd42a8b5163
hex748425f6048

8006932586568 has 32 divisors (see below), whose sum is σ = 21194821553760. Its totient is φ = 2511978850560.

The previous prime is 8006932586567. The next prime is 8006932586573. The reversal of 8006932586568 is 8656852396008.

It is a super-2 number, since 2×80069325865682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8006932586499 and 8006932586508.

It is not an unprimeable number, because it can be changed into a prime (8006932586567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9812416978 + ... + 9812417793.

It is an arithmetic number, because the mean of its divisors is an integer number (662338173555).

Almost surely, 28006932586568 is an apocalyptic number.

It is an amenable number.

8006932586568 is an abundant number, since it is smaller than the sum of its proper divisors (13187888967192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8006932586568 is a wasteful number, since it uses less digits than its factorization.

8006932586568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624834797 (or 19624834793 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 66.

The spelling of 8006932586568 in words is "eight trillion, six billion, nine hundred thirty-two million, five hundred eighty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 19624834771 39249669542 58874504313 78499339084 117749008626 156998678168 235498017252 333622191107 470996034504 667244382214 1000866573321 1334488764428 2001733146642 2668977528856 4003466293284 8006932586568