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16442023643461 = 131702937427029
BaseRepresentation
bin1110111101000011010011…
…1110101000100101000101
32011012211201220020110011201
43233100310332220211011
54123341231023042321
654545210020502501
73314616450004453
oct357206476504505
964184656213151
1016442023643461
11526a028782119
121a166a854aa31
13923626210b70
1440bb2633d9d3
151d7a64c8e291
hexef434fa8945

16442023643461 has 8 divisors (see below), whose sum is σ = 17706901055480. Its totient is φ = 15177161426112.

The previous prime is 16442023643447. The next prime is 16442023643473. The reversal of 16442023643461 is 16434632024461.

It can be written as a sum of positive squares in 4 ways, for example, as 1218994854561 + 15223028788900 = 1104081^2 + 3901670^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 16442023643461 - 211 = 16442023641413 is a prime.

It is a super-3 number, since 3×164420236434613 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442023643491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1499706 + ... + 5927323.

It is an arithmetic number, because the mean of its divisors is an integer number (2213362631935).

Almost surely, 216442023643461 is an apocalyptic number.

It is an amenable number.

16442023643461 is a deficient number, since it is larger than the sum of its proper divisors (1264877412019).

16442023643461 is a wasteful number, since it uses less digits than its factorization.

16442023643461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597335.

The product of its (nonzero) digits is 1990656, while the sum is 46.

The spelling of 16442023643461 in words is "sixteen trillion, four hundred forty-two billion, twenty-three million, six hundred forty-three thousand, four hundred sixty-one".

Divisors: 1 13 170293 2213809 7427029 96551377 1264771049497 16442023643461