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16020442512 = 24322336912
BaseRepresentation
bin11101110101110010…
…01000110110010000
31112100111021210122200
432322321020312100
5230302213130022
611205405403200
71105000341324
oct167271106620
945314253580
1016020442512
116881138638
123131269500
131684092ba9
14abd973984
1563b6d2bac
hex3bae48d90

16020442512 has 90 divisors (see below), whose sum is σ = 45092670246. Its totient is φ = 5309533440.

The previous prime is 16020442511. The next prime is 16020442583. The reversal of 16020442512 is 21524402061.

16020442512 is a `hidden beast` number, since 1 + 602 + 0 + 4 + 4 + 2 + 51 + 2 = 666.

16020442512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11619977616 + 4400464896 = 107796^2 + 66336^2 .

It is not an unprimeable number, because it can be changed into a prime (16020442511) 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 17 ways as a sum of consecutive naturals, for example, 23184087 + ... + 23184777.

Almost surely, 216020442512 is an apocalyptic number.

16020442512 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 16020442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22546335123).

16020442512 is an abundant number, since it is smaller than the sum of its proper divisors (29072227734).

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

16020442512 is an equidigital number, since it uses as much as digits as its factorization.

16020442512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 16020442512 its reverse (21524402061), we get a palindrome (37544844573).

The spelling of 16020442512 in words is "sixteen billion, twenty million, four hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 691 699 932 1382 1398 1864 2073 2097 2764 2796 3728 4146 4194 5528 5592 6219 8292 8388 11056 11184 12438 16584 16776 24876 33168 33552 49752 99504 161003 322006 477481 483009 644012 954962 966018 1288024 1432443 1449027 1909924 1932036 2576048 2864886 2898054 3819848 3864072 4297329 5729772 5796108 7639696 7728144 8594658 11459544 11592216 17189316 22919088 23184432 34378632 68757264 111253073 222506146 333759219 445012292 667518438 890024584 1001277657 1335036876 1780049168 2002555314 2670073752 4005110628 5340147504 8010221256 16020442512