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85283132560 = 2451066039157
BaseRepresentation
bin100111101101101000…
…1010101010010010000
322011010112021000102021
41033123101111102100
52344124440220220
6103102321301224
76106252444303
oct1173321252220
9264115230367
1085283132560
113319411783a
1214641194814
138071836b62
1441b069cb3a
1523422014aa
hex13db455490

85283132560 has 20 divisors (see below), whose sum is σ = 198283283388. Its totient is φ = 34113252992.

The previous prime is 85283132527. The next prime is 85283132567. The reversal of 85283132560 is 6523138258.

It can be written as a sum of positive squares in 2 ways, for example, as 36537557904 + 48745574656 = 191148^2 + 220784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (85283132567) 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 3 ways as a sum of consecutive naturals, for example, 533019499 + ... + 533019658.

Almost surely, 285283132560 is an apocalyptic number.

85283132560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85283132560 is an abundant number, since it is smaller than the sum of its proper divisors (113000150828).

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

85283132560 is a wasteful number, since it uses less digits than its factorization.

85283132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066039170 (or 1066039164 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 85283132560 in words is "eighty-five billion, two hundred eighty-three million, one hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1066039157 2132078314 4264156628 5330195785 8528313256 10660391570 17056626512 21320783140 42641566280 85283132560