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2112430344768 = 26323667413793
BaseRepresentation
bin11110101111010110101…
…010010000101001000000
321110221112220101010121100
4132233112222100221000
5234102224132013033
64254234225254400
7305421664444542
oct36572652205100
97427486333540
102112430344768
11744970949997
122a14a0794400
13124280412ab3
1474356751692
1539e38642513
hex1ebd6a90a40

2112430344768 has 42 divisors (see below), whose sum is σ = 6054900173894. Its totient is φ = 704143448064.

The previous prime is 2112430344751. The next prime is 2112430344781. The reversal of 2112430344768 is 8674430342112.

2112430344768 is a `hidden beast` number, since 2 + 1 + 1 + 243 + 0 + 344 + 7 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2060970329664 + 51460015104 = 1435608^2 + 226848^2 .

It is a super-2 number, since 2×21124303447682 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1833706321 + ... + 1833707472.

Almost surely, 22112430344768 is an apocalyptic number.

It is an amenable number.

2112430344768 is an abundant number, since it is smaller than the sum of its proper divisors (3942469829126).

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

2112430344768 is a wasteful number, since it uses less digits than its factorization.

2112430344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667413811 (or 3667413798 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2112430344768 in words is "two trillion, one hundred twelve billion, four hundred thirty million, three hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3667413793 7334827586 11002241379 14669655172 22004482758 29339310344 33006724137 44008965516 58678620688 66013448274 88017931032 117357241376 132026896548 176035862064 234714482752 264053793096 352071724128 528107586192 704143448256 1056215172384 2112430344768