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12331519984 = 247971135081
BaseRepresentation
bin10110111110000010…
…00000111111110000
31011211101221010021101
423133001000333300
5200223332114414
65355351134144
7614405122210
oct133701007760
934741833241
1012331519984
115258904533
122481974354
131216a4a3b4
1484da78240
154c2908a74
hex2df040ff0

12331519984 has 40 divisors (see below), whose sum is σ = 27587032928. Its totient is φ = 5230448640.

The previous prime is 12331519933. The next prime is 12331519987. The reversal of 12331519984 is 48991513321.

12331519984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331519987) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 556677 + ... + 578404.

Almost surely, 212331519984 is an apocalyptic number.

12331519984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12331519984 is an abundant number, since it is smaller than the sum of its proper divisors (15255512944).

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

12331519984 is a wasteful number, since it uses less digits than its factorization.

12331519984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135193 (or 1135187 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

The spelling of 12331519984 in words is "twelve billion, three hundred thirty-one million, five hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 1135081 2270162 4540324 7945567 9080648 15891134 18161296 31782268 63564536 110102857 127129072 220205714 440411428 770719999 880822856 1541439998 1761645712 3082879996 6165759992 12331519984