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6814127295312 = 2432337166816669
BaseRepresentation
bin110001100101000100110…
…1000110000101101010000
3220010102110020200020210120
41203022021220300231100
51343120313041422222
622254211124230240
71302206266226121
oct143121150605520
926112406606716
106814127295312
11219794523a217
1292075953b380
133a57530c79bc
14197b3c4c6048
15bc3b765515c
hex63289a30b50

6814127295312 has 80 divisors (see below), whose sum is σ = 18864963576960. Its totient is φ = 2113900816896.

The previous prime is 6814127295247. The next prime is 6814127295359. The reversal of 6814127295312 is 2135927214186.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83367487 + ... + 83449182.

It is an arithmetic number, because the mean of its divisors is an integer number (235812044712).

Almost surely, 26814127295312 is an apocalyptic number.

It is an amenable number.

6814127295312 is an abundant number, since it is smaller than the sum of its proper divisors (12050836281648).

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

6814127295312 is a wasteful number, since it uses less digits than its factorization.

6814127295312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166816740 (or 166816734 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 6814127295312 in words is "six trillion, eight hundred fourteen billion, one hundred twenty-seven million, two hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 6808 10212 13616 20424 40848 166816669 333633338 500450007 667266676 1000900014 1334533352 2001800028 2669066704 3836783387 4003600056 6172216753 7673566774 8007200112 11510350161 12344433506 15347133548 18516650259 23020700322 24688867012 30694267096 37033300518 46041400644 49377734024 61388534192 74066601036 92082801288 98755468048 141960985319 148133202072 184165602576 283921970638 296266404144 425882955957 567843941276 851765911914 1135687882552 1703531823828 2271375765104 3407063647656 6814127295312