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66150352016 = 2472769109721
BaseRepresentation
bin111101100110110111…
…100100010010010000
320022202010120001121122
4331212313210102100
52040433442231031
650220011341412
74531160500100
oct754667442220
9208663501548
1066150352016
1126066170611
12109a1751868
136312a19138
1432b763d200
151ac268947b
hexf66de4490

66150352016 has 60 divisors (see below), whose sum is σ = 149286655980. Its totient is φ = 28313026560.

The previous prime is 66150352001. The next prime is 66150352057. The reversal of 66150352016 is 61025305166.

66150352016 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 2 ways, for example, as 42434352016 + 23716000000 = 205996^2 + 154000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548036 + ... + 657756.

It is an arithmetic number, because the mean of its divisors is an integer number (2488110933).

Almost surely, 266150352016 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 66150352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643327990).

66150352016 is an abundant number, since it is smaller than the sum of its proper divisors (83136303964).

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

66150352016 is a wasteful number, since it uses less digits than its factorization.

66150352016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110512 (or 110499 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 66150352016 in words is "sixty-six billion, one hundred fifty million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 769 784 1538 3076 5383 6152 10766 12304 21532 37681 43064 75362 86128 109721 150724 219442 301448 438884 602896 768047 877768 1536094 1755536 3072188 5376329 6144376 10752658 12288752 21505316 43010632 84375449 86021264 168750898 337501796 590628143 675003592 1181256286 1350007184 2362512572 4134397001 4725025144 8268794002 9450050288 16537588004 33075176008 66150352016