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16661017870960 = 245739113131629
BaseRepresentation
bin1111001001110011001000…
…0011010100001001110000
32011222202222222111212102111
43302130302003110021300
54140433231033332320
655233544351055104
73336501361143151
oct362346203241160
964882888455374
1016661017870960
1153439972665a1
121a51025211494
1393b1867291b8
1441857ccd5928
151dd5d0a0ca5a
hexf27320d4270

16661017870960 has 80 divisors (see below), whose sum is σ = 39310624851840. Its totient is φ = 6565896529920.

The previous prime is 16661017870949. The next prime is 16661017871087. The reversal of 16661017870960 is 6907871016661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×166610178709602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16661017870895 and 16661017870904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3754426 + ... + 6886054.

It is an arithmetic number, because the mean of its divisors is an integer number (491382810648).

Almost surely, 216661017870960 is an apocalyptic number.

16661017870960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16661017870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655312425920).

16661017870960 is an abundant number, since it is smaller than the sum of its proper divisors (22649606980880).

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

16661017870960 is a wasteful number, since it uses less digits than its factorization.

16661017870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132626 (or 3132620 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 58.

The spelling of 16661017870960 in words is "sixteen trillion, six hundred sixty-one billion, seventeen million, eight hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 911 1168 1460 1822 2920 3644 4555 5840 7288 9110 14576 18220 36440 66503 72880 133006 266012 332515 532024 665030 1064048 1330060 2660120 3131629 5320240 6263258 12526516 15658145 25053032 31316290 50106064 62632580 125265160 228608917 250530320 457217834 914435668 1143044585 1828871336 2286089170 2852914019 3657742672 4572178340 5705828038 9144356680 11411656076 14264570095 18288713360 22823312152 28529140190 45646624304 57058280380 114116560760 208262723387 228233121520 416525446774 833050893548 1041313616935 1666101787096 2082627233870 3332203574192 4165254467740 8330508935480 16661017870960