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2128111106382 = 2357875563951
BaseRepresentation
bin11110111101111101010…
…011100111100101001110
321112110000201111100200000
4132331331103213211032
5234331332420401012
64305350222345130
7306515401640652
oct36757523474516
97473021440600
102128111106382
11750588270208
122a453812b1a6
131258abcc3671
1475003142a62
153a5550c8ddc
hex1ef7d4e794e

2128111106382 has 48 divisors (see below), whose sum is σ = 4787758440192. Its totient is φ = 708468881400.

The previous prime is 2128111106353. The next prime is 2128111106399. The reversal of 2128111106382 is 2836011118212.

It is a happy number.

2128111106382 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 1 + 1 + 1 + 10 + 638 + 2 = 666.

It is a super-2 number, since 2×21281111063822 (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 23 ways as a sum of consecutive naturals, for example, 2399494 + ... + 3164457.

It is an arithmetic number, because the mean of its divisors is an integer number (99744967504).

Almost surely, 22128111106382 is an apocalyptic number.

2128111106382 is an abundant number, since it is smaller than the sum of its proper divisors (2659647333810).

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

2128111106382 is an equidigital number, since it uses as much as digits as its factorization.

2128111106382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564755 (or 5564743 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 2128111106382 in words is "two trillion, one hundred twenty-eight billion, one hundred eleven million, one hundred six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 787 1574 2361 4722 7083 14166 21249 42498 63747 127494 191241 382482 5563951 11127902 16691853 33383706 50075559 100151118 150226677 300453354 450680031 901360062 1352040093 2704080186 4378829437 8757658874 13136488311 26272976622 39409464933 78818929866 118228394799 236456789598 354685184397 709370368794 1064055553191 2128111106382