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12345045042 = 23113710694729
BaseRepresentation
bin10110111111101001…
…00111000000110010
31011212100101021011110
423133310213000302
5200240312420132
65400553054150
7614631102651
oct133764470062
934770337143
1012345045042
115265502070
1224863b7356
1312197a45a5
14851799198
154c3bcb1cc
hex2dfd27032

12345045042 has 64 divisors (see below), whose sum is σ = 27694339200. Its totient is φ = 3635642880.

The previous prime is 12345044993. The next prime is 12345045043. The reversal of 12345045042 is 24054054321.

It is not an unprimeable number, because it can be changed into a prime (12345045043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608134 + ... + 2612862.

It is an arithmetic number, because the mean of its divisors is an integer number (432724050).

Almost surely, 212345045042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12345045042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847169600).

12345045042 is an abundant number, since it is smaller than the sum of its proper divisors (15349294158).

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

12345045042 is a wasteful number, since it uses less digits than its factorization.

12345045042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12345045042 its reverse (24054054321), we get a palindrome (36399099363).

The spelling of 12345045042 in words is "twelve billion, three hundred forty-five million, forty-five thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1069 1221 2138 2442 3207 4729 6414 9458 11759 14187 23518 28374 35277 39553 52019 70554 79106 104038 118659 156057 174973 237318 312114 349946 435083 524919 870166 1049838 1305249 1924703 2610498 3849406 5055301 5774109 10110602 11548218 15165903 30331806 55608311 111216622 166824933 187046137 333649866 374092274 561138411 1122276822 2057507507 4115015014 6172522521 12345045042