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81992911 = 71113101811
BaseRepresentation
bin1001110001100…
…01110011001111
312201021200010111
410320301303033
5131442233121
612045220451
72013633250
oct470616317
9181250114
1081992911
1142312540
1223561727
1313caa520
14ac64b27
1572e92e1
hex4e31ccf

81992911 has 32 divisors (see below), whose sum is σ = 111315456. Its totient is φ = 58320000.

The previous prime is 81992909. The next prime is 81992927. The reversal of 81992911 is 11929918.

It is a 7-Lehmer number, since φ(81992911) divides (81992911-1)7.

It is a cyclic number.

It is not a de Polignac number, because 81992911 - 21 = 81992909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81992951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100696 + ... + 101506.

It is an arithmetic number, because the mean of its divisors is an integer number (3478608).

It is a vampire number, since it can be written as 89219191 (with its own digits).

Almost surely, 281992911 is an apocalyptic number.

81992911 is a deficient number, since it is larger than the sum of its proper divisors (29322545).

81992911 is a wasteful number, since it uses less digits than its factorization.

81992911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its digits is 11664, while the sum is 40.

The square root of 81992911 is about 9054.9937051331. The cubic root of 81992911 is about 434.4356286920.

The spelling of 81992911 in words is "eighty-one million, nine hundred ninety-two thousand, nine hundred eleven".

Divisors: 1 7 11 13 77 91 101 143 707 811 1001 1111 1313 5677 7777 8921 9191 10543 14443 62447 73801 81911 101101 115973 573377 811811 901021 1064843 6307147 7453901 11713273 81992911