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16442670133866 = 23167211457170179
BaseRepresentation
bin1110111101000101101110…
…0000110011001001101010
32011012220101221201120021210
43233101123200303021222
54123344042023240431
654545354113213550
73314641460043234
oct357213340631152
964186357646253
1016442670133866
11526a32a6a3a09
121a16848b612b6
139236ca136572
1440bb88149254
151d7aa18e1d46
hexef45b83326a

16442670133866 has 64 divisors (see below), whose sum is σ = 33311975316480. Its totient is φ = 5410353432960.

The previous prime is 16442670133793. The next prime is 16442670133867. The reversal of 16442670133866 is 66833107624461.

It is a happy number.

It is a super-3 number, since 3×164426701338663 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16442670133867) 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 31 ways as a sum of consecutive naturals, for example, 96534765 + ... + 96704943.

It is an arithmetic number, because the mean of its divisors is an integer number (520499614320).

Almost surely, 216442670133866 is an apocalyptic number.

16442670133866 is an abundant number, since it is smaller than the sum of its proper divisors (16869305182614).

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

16442670133866 is a wasteful number, since it uses less digits than its factorization.

16442670133866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171019.

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 16442670133866 in words is "sixteen trillion, four hundred forty-two billion, six hundred seventy million, one hundred thirty-three thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 167 211 334 422 457 501 633 914 1002 1266 1371 2742 35237 70474 76319 96427 105711 152638 170179 192854 211422 228957 289281 340358 457914 510537 578562 1021074 16103309 28419893 32206618 35907769 48309927 56839786 71815538 77771803 85259679 96619854 107723307 155543606 170519358 215446614 233315409 466630818 5996597423 11993194846 12987891101 16409850433 17989792269 25975782202 32819700866 35979584538 38963673303 49229551299 77927346606 98459102598 2740445022311 5480890044622 8221335066933 16442670133866