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12888767232 = 2832112322111
BaseRepresentation
bin11000000000011101…
…01111101100000000
31020021020111012210100
430000032233230000
5202344011022412
65530535002400
7634252466565
oct140016575400
936236435710
1012888767232
115514411650
1225b8509400
1312a53274b3
148a3a9286c
155067cdedc
hex3003afb00

12888767232 has 216 divisors, whose sum is σ = 42304324608. Its totient is φ = 3735705600.

The previous prime is 12888767207. The next prime is 12888767237. The reversal of 12888767232 is 23276788821.

It is a super-2 number, since 2×128887672322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12888767237) 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, 571857 + ... + 593967.

Almost surely, 212888767232 is an apocalyptic number.

12888767232 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 12888767232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152162304).

12888767232 is an abundant number, since it is smaller than the sum of its proper divisors (29415557376).

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

12888767232 is a wasteful number, since it uses less digits than its factorization.

12888767232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22167 (or 22150 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 12888767232 in words is "twelve billion, eight hundred eighty-eight million, seven hundred sixty-seven thousand, two hundred thirty-two".