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16452127072 = 254157121961
BaseRepresentation
bin11110101001001111…
…11000100101100000
31120110120120122112201
433110213320211200
5232143221031242
611320310102544
71121461526023
oct172447704540
946416518481
1016452127072
116a82884637
12323194aa54
131722649144
14b210251ba
156645544b7
hex3d49f8960

16452127072 has 48 divisors (see below), whose sum is σ = 33239750544. Its totient is φ = 8011008000.

The previous prime is 16452127057. The next prime is 16452127091. The reversal of 16452127072 is 27072125461.

16452127072 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 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 7 ways as a sum of consecutive naturals, for example, 738172 + ... + 760132.

It is an arithmetic number, because the mean of its divisors is an integer number (692494803).

Almost surely, 216452127072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16452127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619875272).

16452127072 is an abundant number, since it is smaller than the sum of its proper divisors (16787623472).

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

16452127072 is a wasteful number, since it uses less digits than its factorization.

16452127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22583 (or 22575 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 16452127072 in words is "sixteen billion, four hundred fifty-two million, one hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 571 656 1142 1312 2284 4568 9136 18272 21961 23411 43922 46822 87844 93644 175688 187288 351376 374576 702752 749152 900401 1800802 3601604 7203208 12539731 14406416 25079462 28812832 50158924 100317848 200635696 401271392 514128971 1028257942 2056515884 4113031768 8226063536 16452127072