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81857879921 = 37113132114821
BaseRepresentation
bin100110000111100011…
…1000001111101110001
321211021211001011010102
41030033013001331301
52320121104124141
6101334402242145
75625341333066
oct1141707017561
9254254034112
1081857879921
1131796703834
1213a46056355
13794700bb4c
143d677dac6d
1521e165b99b
hex130f1c1f71

81857879921 has 16 divisors (see below), whose sum is σ = 84884171088. Its totient is φ = 78875596800.

The previous prime is 81857879849. The next prime is 81857879981. The reversal of 81857879921 is 12997875818.

It can be written as a sum of positive squares in 8 ways, for example, as 1284218896 + 80573661025 = 35836^2 + 283855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-81857879921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81857879981) 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, 5515691 + ... + 5530511.

It is an arithmetic number, because the mean of its divisors is an integer number (5305260693).

Almost surely, 281857879921 is an apocalyptic number.

It is an amenable number.

81857879921 is a deficient number, since it is larger than the sum of its proper divisors (3026291167).

81857879921 is a wasteful number, since it uses less digits than its factorization.

81857879921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292.

The product of its digits is 20321280, while the sum is 65.

The spelling of 81857879921 in words is "eighty-one billion, eight hundred fifty-seven million, eight hundred seventy-nine thousand, nine hundred twenty-one".

Divisors: 1 37 113 1321 4181 14821 48877 149273 548377 1674773 5523101 19578541 61966601 724406017 2212375133 81857879921