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28182195099936 = 25322319872141197
BaseRepresentation
bin1100110100001101011011…
…01110100101100100100000
310200210012011122001221210100
412122012231232211210200
512143214113421144221
6135534415515302400
75636045031601413
oct632065556454440
9120705148057710
1028182195099936
118a86002475529
1231b1a9414aa00
131295753526627
146d6050059b7a
1533d13c0a4926
hex19a1adba5920

28182195099936 has 144 divisors (see below), whose sum is σ = 83669727121344. Its totient is φ = 8981101020672.

The previous prime is 28182195099887. The next prime is 28182195099983. The reversal of 28182195099936 is 63999059128182.

28182195099936 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 21 + 9 + 509 + 9 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×281821950999362 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12091290 + ... + 14232486.

It is an arithmetic number, because the mean of its divisors is an integer number (581039771676).

Almost surely, 228182195099936 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 28182195099936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41834863560672).

28182195099936 is an abundant number, since it is smaller than the sum of its proper divisors (55487532021408).

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

28182195099936 is a wasteful number, since it uses less digits than its factorization.

28182195099936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143223 (or 2143212 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 28182195099936 in words is "twenty-eight trillion, one hundred eighty-two billion, one hundred ninety-five million, ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 1987 2208 3312 3974 5961 6624 7948 11922 15896 17883 23844 31792 35766 45701 47688 63584 71532 91402 95376 137103 143064 182804 190752 274206 286128 365608 411309 548412 572256 731216 822618 1096824 1462432 1645236 2141197 2193648 3290472 4282394 4387296 6423591 6580944 8564788 12847182 13161888 17129576 19270773 25694364 34259152 38541546 49247531 51388728 68518304 77083092 98495062 102777456 147742593 154166184 196990124 205554912 295485186 308332368 393980248 443227779 590970372 616664736 787960496 886455558 1181940744 1575920992 1772911116 2363881488 3545822232 4254558439 4727762976 7091644464 8509116878 12763675317 14183288928 17018233756 25527350634 34036467512 38291025951 51054701268 68072935024 76582051902 97854844097 102109402536 136145870048 153164103804 195709688194 204218805072 293564532291 306328207608 391419376388 408437610144 587129064582 612656415216 782838752776 880693596873 1174258129164 1225312830432 1565677505552 1761387193746 2348516258328 3131355011104 3522774387492 4697032516656 7045548774984 9394065033312 14091097549968 28182195099936