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16442066417415 = 3517226728442299
BaseRepresentation
bin1110111101000011011110…
…0001110011011100000111
32011012211211212201121000020
43233100313201303130013
54123341323000324130
654545214145350223
73314620506405042
oct357206741633407
964184755647006
1016442066417415
11526a04a9378a1
121a166ba938373
139236320391b2
1440bb2bcb5c59
151d7a688dce10
hexef437873707

16442066417415 has 32 divisors (see below), whose sum is σ = 27867082924800. Its totient is φ = 8249631650304.

The previous prime is 16442066417383. The next prime is 16442066417423. The reversal of 16442066417415 is 51471466024461.

It is not a de Polignac number, because 16442066417415 - 25 = 16442066417383 is a prime.

It is a super-3 number, since 3×164420664174153 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13643065 + ... + 14799234.

It is an arithmetic number, because the mean of its divisors is an integer number (870846341400).

Almost surely, 216442066417415 is an apocalyptic number.

16442066417415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16442066417415 is a deficient number, since it is larger than the sum of its proper divisors (11425016507385).

16442066417415 is a wasteful number, since it uses less digits than its factorization.

16442066417415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28444591.

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 16442066417415 in words is "sixteen trillion, four hundred forty-two billion, sixty-six million, four hundred seventeen thousand, four hundred fifteen".

Divisors: 1 3 5 15 17 51 85 255 2267 6801 11335 34005 38539 115617 192695 578085 28442299 85326897 142211495 426634485 483519083 1450557249 2417595415 7252786245 64478691833 193436075499 322393459165 967180377495 1096137761161 3288413283483 5480688805805 16442066417415