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11780084213128 = 23711176171823197
BaseRepresentation
bin1010101101101100001110…
…1111000010010110001000
31112201011110022201121202001
42223123003233002112020
53021001103024310003
641015410155320344
72324040316452640
oct253330357022610
945634408647661
1011780084213128
1138319a6483210
1213a30864500b4
13675b1b29ca4a
142ca232897520
1515666131761d
hexab6c3bc2588

11780084213128 has 128 divisors (see below), whose sum is σ = 29205006554880. Its totient is φ = 4312660746240.

The previous prime is 11780084213083. The next prime is 11780084213141. The reversal of 11780084213128 is 82131248008711.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5549626 + ... + 7372822.

It is an arithmetic number, because the mean of its divisors is an integer number (228164113710).

Almost surely, 211780084213128 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 11780084213128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602503277440).

11780084213128 is an abundant number, since it is smaller than the sum of its proper divisors (17424922341752).

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

11780084213128 is a wasteful number, since it uses less digits than its factorization.

11780084213128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823855 (or 1823851 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The spelling of 11780084213128 in words is "eleven trillion, seven hundred eighty billion, eighty-four million, two hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 617 748 952 1234 1309 1496 2468 2618 4319 4936 5236 6787 8638 10472 10489 13574 17276 20978 27148 34552 41956 47509 54296 73423 83912 95018 115379 146846 190036 230758 293692 380072 461516 587384 807653 923032 1615306 1823197 3230612 3646394 6461224 7292788 12762379 14585576 20055167 25524758 30994349 40110334 51049516 61988698 80220668 102099032 123977396 140386169 160441336 216960443 247954792 280772338 340937839 433920886 561544676 681875678 867841772 1123089352 1124912549 1363751356 1735683544 2249825098 2386564873 2727502712 4499650196 4773129746 7874387843 8999300392 9546259492 12374038039 15748775686 19092518984 19123513333 24748076078 31497551372 38247026666 49496152156 62995102744 76494053332 86618266273 98992304312 133864593331 152988106664 173236532546 210358646663 267729186662 346473065092 420717293326 535458373324 692946130184 841434586652 1070916746648 1472510526641 1682869173304 2945021053282 5890042106564 11780084213128