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85443966864 = 2432243592
BaseRepresentation
bin100111110010011011…
…0110111011110010000
322011112201220020121100
41033210312313132100
52344442123414424
6103130304424400
76113244510054
oct1174466673620
9264481806540
1085443966864
1133266989a53
1214687018100
138098c5a299
1441c7ba7c64
1523513c0dc9
hex13e4db7790

85443966864 has 45 divisors (see below), whose sum is σ = 239134252123. Its totient is φ = 28480153056.

The previous prime is 85443966851. The next prime is 85443966869. The reversal of 85443966864 is 46866934458.

The square root of 85443966864 is 292308.

It is a perfect power (a square), and thus also a powerful number.

85443966864 is a `hidden beast` number, since 8 + 544 + 3 + 9 + 6 + 6 + 86 + 4 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85443966869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3495517 + ... + 3519875.

Almost surely, 285443966864 is an apocalyptic number.

85443966864 is the 292308-th square number.

It is an amenable number.

85443966864 is an abundant number, since it is smaller than the sum of its proper divisors (153690285259).

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

85443966864 is an frugal number, since it uses more digits than its factorization.

85443966864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48732 (or 24364 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 85443966864 in words is "eighty-five billion, four hundred forty-three million, nine hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 24359 48718 73077 97436 146154 194872 219231 292308 389744 438462 584616 876924 1169232 1753848 3507696 593360881 1186721762 1780082643 2373443524 3560165286 4746887048 5340247929 7120330572 9493774096 10680495858 14240661144 21360991716 28481322288 42721983432 85443966864