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12253905048 = 233711174347193
BaseRepresentation
bin10110110100110001…
…11100000010011000
31011121222212212121010
423122120330002120
5200043444430143
65343535413520
7612443321460
oct133230740230
934558785533
1012253905048
115219012260
12245b9842a0
1312039437b8
14843632ba0
154babc6a33
hex2da63c098

12253905048 has 512 divisors, whose sum is σ = 42480599040. Its totient is φ = 2848849920.

The previous prime is 12253905047. The next prime is 12253905077. The reversal of 12253905048 is 84050935221.

It is a junction number, because it is equal to n+sod(n) for n = 12253904997 and 12253905015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253905047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63491640 + ... + 63491832.

It is an arithmetic number, because the mean of its divisors is an integer number (82969920).

Almost surely, 212253905048 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 12253905048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240299520).

12253905048 is an abundant number, since it is smaller than the sum of its proper divisors (30226693992).

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

12253905048 is a wasteful number, since it uses less digits than its factorization.

12253905048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 12253905048 in words is "twelve billion, two hundred fifty-three million, nine hundred five thousand, forty-eight".