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2433381012 = 2232617115607
BaseRepresentation
bin1001000100001010…
…0111001010010100
320021120211120012200
42101002213022110
514440421143022
61041243444500
7114205253166
oct22102471224
96246746180
102433381012
111039642197
1257ab26730
132ca1a582a
1419126c936
15e396bbac
hex910a7294

2433381012 has 72 divisors (see below), whose sum is σ = 6340344192. Its totient is φ = 786542400.

The previous prime is 2433381011. The next prime is 2433381017. The reversal of 2433381012 is 2101833342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433381011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148113 + ... + 163719.

It is an arithmetic number, because the mean of its divisors is an integer number (88060336).

Almost surely, 22433381012 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 2433381012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170172096).

2433381012 is an abundant number, since it is smaller than the sum of its proper divisors (3906963180).

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

2433381012 is a wasteful number, since it uses less digits than its factorization.

2433381012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15749 (or 15744 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2433381012 is about 49329.3118946535. The cubic root of 2433381012 is about 1345.0446610654.

The spelling of 2433381012 in words is "two billion, four hundred thirty-three million, three hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 71 122 142 183 213 244 284 366 426 549 639 732 852 1098 1278 2196 2556 4331 8662 12993 15607 17324 25986 31214 38979 46821 51972 62428 77958 93642 140463 155916 187284 280926 561852 952027 1108097 1904054 2216194 2856081 3324291 3808108 4432388 5712162 6648582 8568243 9972873 11424324 13297164 17136486 19945746 34272972 39891492 67593917 135187834 202781751 270375668 405563502 608345253 811127004 1216690506 2433381012