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2445351012 = 2233135213343
BaseRepresentation
bin1001000111000001…
…0001100001100100
320022102100200222000
42101300101201210
520002002213022
61042352205300
7114412066146
oct22160214144
96272320860
102445351012
111045378455
12582b39830
132cc806c80
14192aa6c96
15e4a336ac
hex91c11864

2445351012 has 96 divisors (see below), whose sum is σ = 6842626560. Its totient is φ = 750746880.

The previous prime is 2445351001. The next prime is 2445351019. The reversal of 2445351012 is 2101535442.

2445351012 is a `hidden beast` number, since 24 + 4 + 535 + 101 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2445351019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729813 + ... + 733155.

It is an arithmetic number, because the mean of its divisors is an integer number (71277360).

Almost surely, 22445351012 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 2445351012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421313280).

2445351012 is an abundant number, since it is smaller than the sum of its proper divisors (4397275548).

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

2445351012 is a wasteful number, since it uses less digits than its factorization.

2445351012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2445351012 is about 49450.4905132396. The cubic root of 2445351012 is about 1347.2465161590.

Adding to 2445351012 its reverse (2101535442), we get a palindrome (4546886454).

The spelling of 2445351012 in words is "two billion, four hundred forty-five million, three hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 521 702 1042 1404 1563 2084 3126 3343 4689 6252 6686 6773 9378 10029 13372 13546 14067 18756 20058 20319 27092 28134 30087 40116 40638 43459 56268 60174 60957 81276 86918 90261 120348 121914 130377 173836 180522 182871 243828 260754 361044 365742 391131 521508 731484 782262 1173393 1564524 1741703 2346786 3483406 4693572 5225109 6966812 10450218 15675327 20900436 22642139 31350654 45284278 47025981 62701308 67926417 90568556 94051962 135852834 188103924 203779251 271705668 407558502 611337753 815117004 1222675506 2445351012