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16442663756145 = 3511791261424147
BaseRepresentation
bin1110111101000101101100…
…1000011110000101110001
32011012220101111201112200220
43233101123020132011301
54123344033410144040
654545353324403253
73314641351611264
oct357213310360561
964186344645626
1016442663756145
11526a327038270
121a168469a6529
139236c8a12673
1440bb87368cdb
151d7aa10822d0
hexef45b21e171

16442663756145 has 32 divisors (see below), whose sum is σ = 29063212369920. Its totient is φ = 7871286671040.

The previous prime is 16442663756143. The next prime is 16442663756171. The reversal of 16442663756145 is 54165736624461.

It is not a de Polignac number, because 16442663756145 - 21 = 16442663756143 is a prime.

It is a super-3 number, since 3×164426637561453 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16442663756143) 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, 630699039 + ... + 630725108.

It is an arithmetic number, because the mean of its divisors is an integer number (908225386560).

Almost surely, 216442663756145 is an apocalyptic number.

16442663756145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16442663756145 is a deficient number, since it is larger than the sum of its proper divisors (12620548613775).

16442663756145 is a wasteful number, since it uses less digits than its factorization.

16442663756145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261424245.

The product of its digits is 87091200, while the sum is 60.

The spelling of 16442663756145 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-three million, seven hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 79 165 237 395 869 1185 2607 4345 13035 1261424147 3784272441 6307120735 13875665617 18921362205 41626996851 69378328085 99652507613 208134984255 298957522839 498262538065 1096177583743 1494787614195 3288532751229 5480887918715 16442663756145