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242016426216 = 23323361339253
BaseRepresentation
bin1110000101100101001…
…1011001100011101000
3212010200112121021202100
43201121103121203220
512431122201114331
6303103015533400
723325251452305
oct3413123314350
9763615537670
10242016426216
1193702a66094
123aaa298a260
1319a8c07a636
14b9dc3c20ac
156466eb5ae6
hex38594d98e8

242016426216 has 24 divisors (see below), whose sum is σ = 655461154530. Its totient is φ = 80672142048.

The previous prime is 242016426163. The next prime is 242016426229. The reversal of 242016426216 is 612624610242.

242016426216 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 1 + 642 + 6 + 2 + 1 + 6 = 666.

242016426216 is digitally balanced in base 3, 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., 121350509316 + 120665916900 = 348354^2 + 347370^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1680669555 + ... + 1680669698.

Almost surely, 2242016426216 is an apocalyptic number.

It is an amenable number.

242016426216 is an abundant number, since it is smaller than the sum of its proper divisors (413444728314).

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

242016426216 is a wasteful number, since it uses less digits than its factorization.

242016426216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361339265 (or 3361339258 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242016426216 in words is "two hundred forty-two billion, sixteen million, four hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3361339253 6722678506 10084017759 13445357012 20168035518 26890714024 30252053277 40336071036 60504106554 80672142072 121008213108 242016426216