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2012440333512 = 233731073322777
BaseRepresentation
bin11101010010001110110…
…010101000110011001000
321010101110102112021100010
4131102032302220303020
5230432434211133022
64140300300311520
7265252101411000
oct35221662506310
97111412467303
102012440333512
11706520116554
122860362425a0
13117a069bca6b
146d58cb71000
153753522c50c
hex1d48eca8cc8

2012440333512 has 128 divisors (see below), whose sum is σ = 5867977248000. Its totient is φ = 574904139264.

The previous prime is 2012440333507. The next prime is 2012440333597. The reversal of 2012440333512 is 2153330442102.

It is a self number, because there is not a number n which added to its sum of digits gives 2012440333512.

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 31 ways as a sum of consecutive naturals, for example, 88342668 + ... + 88365444.

It is an arithmetic number, because the mean of its divisors is an integer number (45843572250).

Almost surely, 22012440333512 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 2012440333512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933988624000).

2012440333512 is an abundant number, since it is smaller than the sum of its proper divisors (3855536914488).

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

2012440333512 is a wasteful number, since it uses less digits than its factorization.

2012440333512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33540 (or 33522 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2012440333512 its reverse (2153330442102), we get a palindrome (4165770775614).

The spelling of 2012440333512 in words is "two trillion, twelve billion, four hundred forty million, three hundred thirty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 10733 21466 22777 32199 42932 45554 64398 68331 75131 85864 91108 128796 136662 150262 159439 182216 225393 257592 273324 300524 318878 450786 478317 525917 546648 601048 637756 901572 956634 1051834 1116073 1275512 1577751 1803144 1913268 2103668 2232146 3155502 3348219 3681419 3826536 4207336 4464292 6311004 6696438 7362838 7812511 8928584 11044257 12622008 13392876 14725676 15625022 22088514 23437533 26785752 29451352 31250044 44177028 46875066 62500088 88354056 93750132 187500264 244465541 488931082 733396623 977862164 1466793246 1711258787 1955724328 2933586492 3422517574 5133776361 5867172984 6845035148 10267552722 11978811509 13690070296 20535105444 23957623018 35936434527 41070210888 47915246036 71872869054 83851680563 95830492072 143745738108 167703361126 251555041689 287491476216 335406722252 503110083378 670813444504 1006220166756 2012440333512