Search a number
-
+
16342666002432 = 21434721123167
BaseRepresentation
bin1110110111010001001011…
…0011010100000000000000
32010212100021111022022210000
43231310102303110000000
54120224234444034212
654431414521440000
73304501332666600
oct355642263240000
963770244268700
1016342666002432
1152309819a6900
1219bb399940000
1391715080b4b3
14406dbc730c00
151d519c13d1dc
hexedd12cd4000

16342666002432 has 2700 divisors, whose sum is σ = 65404471262592. Its totient is φ = 4046605516800.

The previous prime is 16342666002431. The next prime is 16342666002433. The reversal of 16342666002432 is 23420066624361.

It is an interprime number because it is at equal distance from previous prime (16342666002431) and next prime (16342666002433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16342666002431) 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 179 ways as a sum of consecutive naturals, for example, 243920388063 + ... + 243920388129.

Almost surely, 216342666002432 is an apocalyptic number.

16342666002432 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 16342666002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32702235631296).

16342666002432 is an abundant number, since it is smaller than the sum of its proper divisors (49061805260160).

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

16342666002432 is an equidigital number, since it uses as much as digits as its factorization.

16342666002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 16342666002432 in words is "sixteen trillion, three hundred forty-two billion, six hundred sixty-six million, two thousand, four hundred thirty-two".