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2084262084828 = 22327111634612873
BaseRepresentation
bin11110010101000111101…
…100111000000011011100
321101020211210211021012200
4132111013230320003130
5233122032043203303
64233255145531500
7303403646256660
oct36250754700334
97336753737180
102084262084828
11733a26679320
12297b3b1a3b90
131217116a1a71
1472c436c28a0
153933a7413a3
hex1e547b380dc

2084262084828 has 144 divisors (see below), whose sum is σ = 6608883031296. Its totient is φ = 538045390080.

The previous prime is 2084262084791. The next prime is 2084262084899. The reversal of 2084262084828 is 8284802624802.

2084262084828 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 2 + 620 + 8 + 4 + 8 + 2 + 8 = 666.

It is a super-2 number, since 2×20842620848282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854601 + ... + 2758272.

Almost surely, 22084262084828 is an apocalyptic number.

2084262084828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2084262084828 is an abundant number, since it is smaller than the sum of its proper divisors (4524620946468).

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

2084262084828 is a wasteful number, since it uses less digits than its factorization.

2084262084828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613064 (or 4613059 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 2084262084828 in words is "two trillion, eighty-four billion, two hundred sixty-two million, eighty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 163 198 231 252 308 326 396 462 489 652 693 924 978 1141 1386 1467 1793 1956 2282 2772 2934 3423 3586 4564 5379 5868 6846 7172 10269 10758 12551 13692 16137 20538 21516 25102 32274 37653 41076 50204 64548 75306 112959 150612 225918 451836 4612873 9225746 13838619 18451492 27677238 32290111 41515857 50741603 55354476 64580222 83031714 96870333 101483206 129160444 152224809 166063428 193740666 202966412 290610999 304449618 355191221 387481332 456674427 581221998 608899236 710382442 751898299 913348854 1065573663 1162443996 1420764884 1503796598 1826697708 2131147326 2255694897 3007593196 3196720989 4262294652 4511389794 5263288093 6393441978 6767084691 8270881289 9022779588 10526576186 12786883956 13534169382 15789864279 16541762578 21053152372 24812643867 27068338764 31579728558 33083525156 47369592837 49625287734 57896169023 63159457116 74437931601 94739185674 99250575468 115792338046 148875863202 173688507069 189478371348 231584676092 297751726404 347377014138 521065521207 694754028276 1042131042414 2084262084828