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20061517343166 = 2331325873744943
BaseRepresentation
bin1001000111110111011111…
…00111010110100110111110
32122000212021122012022221000
410203323233213112212332
510112141441414440131
6110400044524151130
74140253046556405
oct443735747264676
978025248168830
1020061517343166
1164350505a0512
1223000816984a6
13b26a401c6200
144d4da844a63c
1524bca590bce6
hex123eef9d69be

20061517343166 has 96 divisors (see below), whose sum is σ = 48356514501120. Its totient is φ = 6162257121696.

The previous prime is 20061517343159. The next prime is 20061517343213. The reversal of 20061517343166 is 66134371516002.

20061517343166 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 151 + 7 + 3 + 431 + 66 = 666.

It is a super-2 number, since 2×200615173431662 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3484491 + ... + 7229433.

It is an arithmetic number, because the mean of its divisors is an integer number (503713692720).

Almost surely, 220061517343166 is an apocalyptic number.

20061517343166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20061517343166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178257250560).

20061517343166 is an abundant number, since it is smaller than the sum of its proper divisors (28294997157954).

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

20061517343166 is a wasteful number, since it uses less digits than its factorization.

20061517343166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745567 (or 3745548 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 20061517343166 its reverse (66134371516002), we get a palindrome (86195888859168).

The spelling of 20061517343166 in words is "twenty trillion, sixty-one billion, five hundred seventeen million, three hundred forty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 587 702 1014 1174 1521 1761 3042 3522 4563 5283 7631 9126 10566 15262 15849 22893 31698 45786 68679 99203 137358 198406 206037 297609 412074 595218 892827 1785654 2678481 3744943 5356962 7489886 11234829 22469658 33704487 48684259 67408974 97368518 101113461 146052777 202226922 292105554 438158331 632895367 876316662 1265790734 1314474993 1898686101 2198281541 2628949986 3797372202 4396563082 5696058303 6594844623 11392116606 13189689246 17088174909 19784533869 28577660033 34176349818 39569067738 57155320066 59353601607 85732980099 118707203214 171465960198 257198940297 371509580429 514397880594 743019160858 771596820891 1114528741287 1543193641782 2229057482574 3343586223861 6687172447722 10030758671583 20061517343166