Search a number
-
+
12488700672 = 283273124979
BaseRepresentation
bin10111010000110001…
…00111001100000000
31012020100200201122100
423220120213030000
5201034101410142
65423124110400
7621324130020
oct135030471400
935210621570
1012488700672
115329600728
122506535400
131240491816
148668b1a80
154d1605b4c
hex2e8627300

12488700672 has 216 divisors, whose sum is σ = 42481187840. Its totient is φ = 3452958720.

The previous prime is 12488700671. The next prime is 12488700691. The reversal of 12488700672 is 27600788421.

It is not an unprimeable number, because it can be changed into a prime (12488700671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487479 + ... + 512457.

Almost surely, 212488700672 is an apocalyptic number.

12488700672 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 12488700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240593920).

12488700672 is an abundant number, since it is smaller than the sum of its proper divisors (29992487168).

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

12488700672 is a wasteful number, since it uses less digits than its factorization.

12488700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25039 (or 25022 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12488700672 in words is "twelve billion, four hundred eighty-eight million, seven hundred thousand, six hundred seventy-two".