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4012033212 = 22321146121977
BaseRepresentation
bin1110111100100010…
…1100010010111100
3101100121100101220200
43233020230102330
531204040030322
61502035443500
7201264501555
oct35710542274
911317311820
104012033212
111779762a30
1293b756590
134bc275865
142a0ba732c
151873508ac
hexef22c4bc

4012033212 has 72 divisors (see below), whose sum is σ = 11087988912. Its totient is φ = 1213075200.

The previous prime is 4012033121. The next prime is 4012033213. The reversal of 4012033212 is 2123302104.

4012033212 is a `hidden beast` number, since 401 + 20 + 33 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012033213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171568 + ... + 193544.

It is an arithmetic number, because the mean of its divisors is an integer number (153999846).

Almost surely, 24012033212 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 4012033212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543994456).

4012033212 is an abundant number, since it is smaller than the sum of its proper divisors (7075955700).

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

4012033212 is a wasteful number, since it uses less digits than its factorization.

4012033212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459 (or 22454 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4012033212 is about 63340.6126588621. The cubic root of 4012033212 is about 1588.9912528795.

Adding to 4012033212 its reverse (2123302104), we get a palindrome (6135335316).

The spelling of 4012033212 in words is "four billion, twelve million, thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 461 922 1383 1844 2766 4149 5071 5532 8298 10142 15213 16596 20284 21977 30426 43954 45639 60852 65931 87908 91278 131862 182556 197793 241747 263724 395586 483494 725241 791172 966988 1450482 2175723 2900964 4351446 8702892 10131397 20262794 30394191 40525588 60788382 91182573 111445367 121576764 182365146 222890734 334336101 364730292 445781468 668672202 1003008303 1337344404 2006016606 4012033212