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16023642016 = 256111177349
BaseRepresentation
bin11101110110001010…
…10101111110100000
31112100201022100112211
432323011111332200
5230304023021031
611210002131504
71105036465324
oct167305257640
945321270484
1016023642016
116882a23458
123132350b94
1316849432a5
14ac0167984
1563bb15bb1
hex3bb155fa0

16023642016 has 48 divisors (see below), whose sum is σ = 32096773800. Its totient is φ = 7872353280.

The previous prime is 16023642013. The next prime is 16023642023. The reversal of 16023642016 is 61024632061.

It can be written as a sum of positive squares in 4 ways, for example, as 6431398416 + 9592243600 = 80196^2 + 97940^2 .

It is not an unprimeable number, because it can be changed into a prime (16023642013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2176710 + ... + 2184058.

Almost surely, 216023642016 is an apocalyptic number.

16023642016 is a gapful number since it is divisible by the number (16) 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 16023642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048386900).

16023642016 is an abundant number, since it is smaller than the sum of its proper divisors (16073131784).

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

16023642016 is a wasteful number, since it uses less digits than its factorization.

16023642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8537 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 16023642016 in words is "sixteen billion, twenty-three million, six hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1117 1952 2234 4468 7349 8936 14698 17872 29396 35744 58792 68137 117584 136274 235168 272548 448289 545096 896578 1090192 1793156 2180384 3586312 7172624 8208833 14345248 16417666 32835332 65670664 131341328 262682656 500738813 1001477626 2002955252 4005910504 8011821008 16023642016