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16442072542266 = 2377316013349601
BaseRepresentation
bin1110111101000011011111…
…1001001010110000111010
32011012211212022020202201120
43233100313321022300322
54123341331032323031
654545214524530110
73314620612434540
oct357206771126072
964184768222646
1016442072542266
11526a053340558
121a167009b0936
139236333a1c77
1440bb2ca2bd90
151d7a691eca96
hexef437e4ac3a

16442072542266 has 64 divisors (see below), whose sum is σ = 38120507318016. Its totient is φ = 4630487040000.

The previous prime is 16442072542219. The next prime is 16442072542367. The reversal of 16442072542266 is 66224527024461.

It is a super-3 number, since 3×164420725422663 (a number of 41 digits) contains 333 as substring.

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, 3233866 + ... + 6583466.

It is an arithmetic number, because the mean of its divisors is an integer number (595632926844).

Almost surely, 216442072542266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442072542266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060253659008).

16442072542266 is an abundant number, since it is smaller than the sum of its proper divisors (21678434775750).

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

16442072542266 is a wasteful number, since it uses less digits than its factorization.

16442072542266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351287.

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 16442072542266 in words is "sixteen trillion, four hundred forty-two billion, seventy-two million, five hundred forty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 1601 3066 3202 4803 9606 11207 22414 33621 67242 116873 233746 350619 701238 818111 1636222 2454333 3349601 4908666 6699202 10048803 20097606 23447207 46894414 70341621 140683242 244520873 489041746 733562619 1467125238 1711646111 3423292222 5134938333 5362711201 10269876666 10725422402 16088133603 32176267206 37538978407 75077956814 112616935221 225233870442 391477917673 782955835346 1174433753019 2348867506038 2740345423711 5480690847422 8221036271133 16442072542266