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16442033677016 = 23373131084716361
BaseRepresentation
bin1110111101000011010110…
…0100111010001011011000
32011012211202121010012121212
43233100311210322023120
54123341241110131031
654545211015522252
73314616631204013
oct357206544721330
964184677105555
1016442033677016
11526a033405512
121a166ab989388
13923628314a8c
1440bb277d237a
151d7a65ac212b
hexef43593a2d8

16442033677016 has 64 divisors (see below), whose sum is σ = 31768050804480. Its totient is φ = 7972049479680.

The previous prime is 16442033677007. The next prime is 16442033677019. The reversal of 16442033677016 is 61077633024461.

It is a happy number.

It is a super-3 number, since 3×164420336770163 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442033677019) 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 15 ways as a sum of consecutive naturals, for example, 1004944676 + ... + 1004961036.

It is an arithmetic number, because the mean of its divisors is an integer number (496375793820).

Almost surely, 216442033677016 is an apocalyptic number.

It is an amenable number.

16442033677016 is a deficient number, since it is larger than the sum of its proper divisors (15326017127464).

16442033677016 is a wasteful number, since it uses less digits than its factorization.

16442033677016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27564 (or 27560 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 50.

The spelling of 16442033677016 in words is "sixteen trillion, four hundred forty-two billion, thirty-three million, six hundred seventy-seven thousand, sixteen".

Divisors: 1 2 4 8 37 74 148 296 313 626 1252 2504 10847 11581 16361 21694 23162 32722 43388 46324 65444 86776 92648 130888 401339 605357 802678 1210714 1605356 2421428 3210712 3395111 4842856 5120993 6790222 10241986 13580444 20483972 27160888 40967944 125619107 177467767 189476741 251238214 354935534 378953482 502476428 709871068 757906964 1004952856 1419742136 1515813928 6566307379 13132614758 26265229516 52530459032 55547411071 111094822142 222189644284 444379288568 2055254209627 4110508419254 8221016838508 16442033677016