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27082064870364 = 2237318733512923
BaseRepresentation
bin1100010100001100010001…
…10110110011101111011100
310112220000112122221211200010
412022012020312303233130
512022203032101322424
6133333155010403220
75463420546126000
oct612061066635734
9115800478854603
1027082064870364
1186a1491656099
123054828890510
131215a9b78224a
14698ac9572700
1531e6eee7c229
hex18a188db3bdc

27082064870364 has 96 divisors (see below), whose sum is σ = 73732059251200. Its totient is φ = 7733599421184.

The previous prime is 27082064870353. The next prime is 27082064870423. The reversal of 27082064870364 is 46307846028072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5952807 + ... + 9465729.

Almost surely, 227082064870364 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 27082064870364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36866029625600).

27082064870364 is an abundant number, since it is smaller than the sum of its proper divisors (46649994380836).

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

27082064870364 is a wasteful number, since it uses less digits than its factorization.

27082064870364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514824 (or 3514808 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 27082064870364 in words is "twenty-seven trillion, eighty-two billion, sixty-four million, eight hundred seventy thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1873 2058 3746 4116 5619 7492 11238 13111 22476 26222 39333 52444 78666 91777 157332 183554 275331 367108 550662 642439 1101324 1284878 1927317 2569756 3512923 3854634 7025846 7709268 10538769 14051692 21077538 24590461 42155076 49180922 73771383 98361844 147542766 172133227 295085532 344266454 516399681 688532908 1032799362 1204932589 2065598724 2409865178 3614797767 4819730356 6579704779 7229595534 13159409558 14459191068 19739114337 26318819116 39478228674 46057933453 78956457348 92115866906 138173800359 184231733812 276347600718 322405534171 552695201436 644811068342 967216602513 1289622136684 1934433205026 2256838739197 3868866410052 4513677478394 6770516217591 9027354956788 13541032435182 27082064870364