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1166111500057 = 71721146441973
BaseRepresentation
bin10000111110000001101…
…010010110011100011001
311010110221022111221110221
4100332001222112130121
5123101144021000212
62251412040240041
7150151221130450
oct20760152263431
94113838457427
101166111500057
1140a5aa5a5549
1216a000470021
1385c6b74028a
14406238b1b97
15204eea13807
hex10f81a96719

1166111500057 has 16 divisors (see below), whose sum is σ = 1417780582272. Its totient is φ = 936270155520.

The previous prime is 1166111500019. The next prime is 1166111500079. The reversal of 1166111500057 is 7500051116611.

It is a happy number.

It is not a de Polignac number, because 1166111500057 - 27 = 1166111499929 is a prime.

It is a super-3 number, since 3×11661115000573 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1166111499995 and 1166111500031.

It is not an unprimeable number, because it can be changed into a prime (1166111500007) by changing a digit.

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, 23195878 + ... + 23246095.

It is an arithmetic number, because the mean of its divisors is an integer number (88611286392).

Almost surely, 21166111500057 is an apocalyptic number.

1166111500057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1166111500057 is a deficient number, since it is larger than the sum of its proper divisors (251669082215).

1166111500057 is a wasteful number, since it uses less digits than its factorization.

1166111500057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46442208.

The product of its (nonzero) digits is 6300, while the sum is 34.

Adding to 1166111500057 its reverse (7500051116611), we get a palindrome (8666162616668).

The spelling of 1166111500057 in words is "one trillion, one hundred sixty-six billion, one hundred eleven million, five hundred thousand, fifty-seven".

Divisors: 1 7 17 119 211 1477 3587 25109 46441973 325093811 789513541 5526594787 9799256303 68594794121 166587357151 1166111500057