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4032030012 = 22317891371621
BaseRepresentation
bin1111000001010011…
…1110010100111100
3101101222222100100220
43300110332110330
531224144430022
61504032221340
7201626455353
oct36024762474
911358870326
104032030012
111789a8090a
1294639a850
134c345769a
142a36d099a
15188ea085c
hexf053e53c

4032030012 has 96 divisors (see below), whose sum is σ = 10153200960. Its totient is φ = 1240842240.

The previous prime is 4032029933. The next prime is 4032030043. The reversal of 4032030012 is 2100302304.

It is a junction number, because it is equal to n+sod(n) for n = 4032029973 and 4032030000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2486562 + ... + 2488182.

It is an arithmetic number, because the mean of its divisors is an integer number (105762510).

Almost surely, 24032030012 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 4032030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076600480).

4032030012 is an abundant number, since it is smaller than the sum of its proper divisors (6121170948).

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

4032030012 is a wasteful number, since it uses less digits than its factorization.

4032030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4032030012 is about 63498.2677873972. The cubic root of 4032030012 is about 1591.6268322051.

Adding to 4032030012 its reverse (2100302304), we get a palindrome (6132332316).

The spelling of 4032030012 in words is "four billion, thirty-two million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 137 178 204 267 274 356 411 534 548 822 1068 1513 1621 1644 2329 3026 3242 4539 4658 4863 6052 6484 6987 9078 9316 9726 12193 13974 18156 19452 24386 27557 27948 36579 48772 55114 73158 82671 110228 144269 146316 165342 207281 222077 288538 330684 414562 432807 444154 577076 621843 666231 829124 865614 888308 1243686 1332462 1731228 2452573 2487372 2664924 3775309 4905146 7357719 7550618 9810292 11325927 14715438 15101236 19764853 22651854 29430876 39529706 45303708 59294559 79059412 118589118 237178236 336002501 672005002 1008007503 1344010004 2016015006 4032030012