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16442076101617 = 653234710728287
BaseRepresentation
bin1110111101000011100000…
…0110101111101111110001
32011012211212112221121020101
43233100320012233233301
54123341332440222432
654545215133112401
73314620654620625
oct357207006575761
964184775847211
1016442076101617
11526a055351771
121a16702028701
1392363404a0aa
1440bb2d2b7185
151d7a696a24e7
hexef4381afbf1

16442076101617 has 8 divisors (see below), whose sum is σ = 16474273226496. Its totient is φ = 16409900439312.

The previous prime is 16442076101603. The next prime is 16442076101651. The reversal of 16442076101617 is 71610167024461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16442076101617 is a prime.

It is a super-3 number, since 3×164420761016173 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16442076101417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3831553 + ... + 6896734.

It is an arithmetic number, because the mean of its divisors is an integer number (2059284153312).

Almost surely, 216442076101617 is an apocalyptic number.

It is an amenable number.

16442076101617 is a deficient number, since it is larger than the sum of its proper divisors (32197124879).

16442076101617 is a wasteful number, since it uses less digits than its factorization.

16442076101617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10731287.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 16442076101617 in words is "sixteen trillion, four hundred forty-two billion, seventy-six million, one hundred one thousand, six hundred seventeen".

Divisors: 1 653 2347 1532591 10728287 7005571411 25179289589 16442076101617