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85407204753 = 3213729976109
BaseRepresentation
bin100111110001010101…
…0101000010110010001
322011110011201112110200
41033202222220112101
52344403221023003
6103122512445413
76112320155643
oct1174252502621
9264404645420
1085407204753
1133248160042
1214676849869
138091458460
1441c2d58893
15234d05d6a3
hex13e2aa8591

85407204753 has 12 divisors (see below), whose sum is σ = 132855652020. Its totient is φ = 52558279776.

The previous prime is 85407204749. The next prime is 85407204781. The reversal of 85407204753 is 35740270458.

It can be written as a sum of positive squares in 2 ways, for example, as 15590768769 + 69816435984 = 124863^2 + 264228^2 .

It is not a de Polignac number, because 85407204753 - 22 = 85407204749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85407204699 and 85407204708.

It is not an unprimeable number, because it can be changed into a prime (85407204053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364987938 + ... + 364988171.

It is an arithmetic number, because the mean of its divisors is an integer number (11071304335).

Almost surely, 285407204753 is an apocalyptic number.

It is an amenable number.

85407204753 is a deficient number, since it is larger than the sum of its proper divisors (47448447267).

85407204753 is a wasteful number, since it uses less digits than its factorization.

85407204753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729976128 (or 729976125 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 85407204753 in words is "eighty-five billion, four hundred seven million, two hundred four thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 39 117 729976109 2189928327 6569784981 9489689417 28469068251 85407204753