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12048989232 = 24371931107569
BaseRepresentation
bin10110011100010110…
…01111110000110000
31011002201022001221110
423032023033300300
5144134020123412
65311335353320
7604404501330
oct131613176060
934081261843
1012048989232
115123381a45
122403222840
1311a0357b37
148243310c0
154a7bead3c
hex2ce2cfc30

12048989232 has 320 divisors, whose sum is σ = 39083212800. Its totient is φ = 3121182720.

The previous prime is 12048989219. The next prime is 12048989243. The reversal of 12048989232 is 23298984021.

12048989232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21175444 + ... + 21176012.

It is an arithmetic number, because the mean of its divisors is an integer number (122135040).

Almost surely, 212048989232 is an apocalyptic number.

12048989232 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 12048989232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541606400).

12048989232 is an abundant number, since it is smaller than the sum of its proper divisors (27034223568).

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

12048989232 is a wasteful number, since it uses less digits than its factorization.

12048989232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 12048989232 in words is "twelve billion, forty-eight million, nine hundred eighty-nine thousand, two hundred thirty-two".