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6851768624272 = 241113231091194517
BaseRepresentation
bin110001110110100110100…
…1111000010010010010000
3220021000121112110212220101
41203231031033002102100
51344224410231434042
622323354204422144
71305011133235015
oct143551517022220
926230545425811
106851768624272
112201900843850
12927b03547954
133a9171602010
141998ad71170c
15bd36c02b6b7
hex63b4d3c2490

6851768624272 has 160 divisors (see below), whose sum is σ = 16423571324160. Its totient is φ = 2724643215360.

The previous prime is 6851768624221. The next prime is 6851768624287. The reversal of 6851768624272 is 2724268671586.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5138758 + ... + 6333274.

It is an arithmetic number, because the mean of its divisors is an integer number (102647320776).

Almost surely, 26851768624272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6851768624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211785662080).

6851768624272 is an abundant number, since it is smaller than the sum of its proper divisors (9571802699888).

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

6851768624272 is a wasteful number, since it uses less digits than its factorization.

6851768624272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194681 (or 1194675 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 64.

The spelling of 6851768624272 in words is "six trillion, eight hundred fifty-one billion, seven hundred sixty-eight million, six hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 109 143 176 184 208 218 253 286 299 368 436 506 572 598 872 1012 1144 1196 1199 1417 1744 2024 2288 2392 2398 2507 2834 3289 4048 4784 4796 5014 5668 6578 9592 10028 11336 13156 15587 19184 20056 22672 26312 27577 31174 32591 40112 52624 55154 62348 65182 110308 124696 130364 220616 249392 260728 358501 441232 521456 717002 1194517 1434004 2389034 2868008 4778068 5736016 9556136 13139687 15528721 19112272 26279374 27473891 31057442 52558748 54947782 62114884 105117496 109895564 124229768 130202353 170815931 210234992 219791128 248459536 260404706 302212801 341631862 357160583 439582256 520809412 604425602 683263724 714321166 1041618824 1208851204 1366527448 1428642332 1432225883 1692630589 2083237648 2417702408 2733054896 2857284664 2864451766 2994654119 3385261178 3928766413 4835404816 5714569328 5728903532 5989308238 6770522356 7857532826 11457807064 11978616476 13541044712 15715065652 18618936479 22915614128 23957232952 27082089424 31430131304 32941195309 37237872958 38930503547 47914465904 62860262608 65882390618 74475745916 77861007094 131764781236 148951491832 155722014188 263529562472 297902983664 311444028376 428235539017 527059124944 622888056752 856471078034 1712942156068 3425884312136 6851768624272