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85489132320 = 2533519789151
BaseRepresentation
bin100111110011110001…
…1001010001100100000
322011122212212212222000
41033213203022030200
52400040204213240
6103135000444000
76114333430554
oct1174743121440
9264585785860
1085489132320
113328a428479
121469a179600
1380a5411cc7
1441cdba3864
152355343430
hex13e78ca320

85489132320 has 96 divisors (see below), whose sum is σ = 299211978240. Its totient is φ = 22797100800.

The previous prime is 85489132319. The next prime is 85489132343. The reversal of 85489132320 is 2323198458.

85489132320 is a `hidden beast` number, since 8 + 5 + 489 + 132 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9890256 + ... + 9898895.

It is an arithmetic number, because the mean of its divisors is an integer number (3116791440).

Almost surely, 285489132320 is an apocalyptic number.

85489132320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85489132320 is an abundant number, since it is smaller than the sum of its proper divisors (213722845920).

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

85489132320 is a wasteful number, since it uses less digits than its factorization.

85489132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19789175 (or 19789161 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85489132320 in words is "eighty-five billion, four hundred eighty-nine million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 19789151 39578302 59367453 79156604 98945755 118734906 158313208 178102359 197891510 237469812 296837265 316626416 356204718 395783020 474939624 534307077 593674530 633252832 712409436 791566040 890511795 949879248 1068614154 1187349060 1424818872 1583132080 1781023590 1899758496 2137228308 2374698120 2671535385 2849637744 3166264160 3562047180 4274456616 4749396240 5343070770 5699275488 7124094360 8548913232 9498792480 10686141540 14248188720 17097826464 21372283080 28496377440 42744566160 85489132320