Search a number
-
+
12249909672 = 233711131947571
BaseRepresentation
bin10110110100010011…
…01100100110101000
31011121201100212222020
423122021230212220
5200041434102142
65343314024440
7612364341240
oct133211544650
934551325866
1012249909672
1152168334a0
12245a578120
131202b75080
14842cb2b20
154ba687cec
hex2da26c9a8

12249909672 has 512 divisors, whose sum is σ = 44281036800. Its totient is φ = 2718489600.

The previous prime is 12249909667. The next prime is 12249909673. The reversal of 12249909672 is 27690994221.

It is not an unprimeable number, because it can be changed into a prime (12249909673) 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, 21453147 + ... + 21453717.

It is an arithmetic number, because the mean of its divisors is an integer number (86486400).

Almost surely, 212249909672 is an apocalyptic number.

12249909672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12249909672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140518400).

12249909672 is an abundant number, since it is smaller than the sum of its proper divisors (32031127128).

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

12249909672 is a wasteful number, since it uses less digits than its factorization.

12249909672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 12249909672 in words is "twelve billion, two hundred forty-nine million, nine hundred nine thousand, six hundred seventy-two".