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85532575717728 = 25321534491935419
BaseRepresentation
bin10011011100101010011010…
…110010101101100101100000
3102012211211112021010210010200
4103130222122302231211200
542202331203340431403
6501525042311025200
724005344650566136
oct2334523262554540
9365754467123120
1085532575717728
1125287186187a67
12971495266b200
1338958c1c59969
141719b27ac9756
159d4d72a9cca3
hex4dca9acad960

85532575717728 has 72 divisors (see below), whose sum is σ = 243234972981000. Its totient is φ = 28510658041344.

The previous prime is 85532575717703. The next prime is 85532575717877. The reversal of 85532575717728 is 82771757523558.

85532575717728 is a `hidden beast` number, since 8 + 5 + 5 + 3 + 25 + 7 + 571 + 7 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43225603 + ... + 45161021.

It is an arithmetic number, because the mean of its divisors is an integer number (3378263513625).

Almost surely, 285532575717728 is an apocalyptic number.

It is an amenable number.

85532575717728 is an abundant number, since it is smaller than the sum of its proper divisors (157702397263272).

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

85532575717728 is a wasteful number, since it uses less digits than its factorization.

85532575717728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088884 (or 2088873 counting only the distinct ones).

The product of its digits is 1152480000, while the sum is 72.

The spelling of 85532575717728 in words is "eighty-five trillion, five hundred thirty-two billion, five hundred seventy-five million, seven hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 153449 306898 460347 613796 920694 1227592 1381041 1841388 1935419 2455184 2762082 3682776 3870838 4910368 5524164 5806257 7365552 7741676 11048328 11612514 14731104 15483352 17418771 22096656 23225028 30966704 34837542 44193312 46450056 61933408 69675084 92900112 139350168 185800224 278700336 557400672 296988110131 593976220262 890964330393 1187952440524 1781928660786 2375904881048 2672892991179 3563857321572 4751809762096 5345785982358 7127714643144 9503619524192 10691571964716 14255429286288 21383143929432 28510858572576 42766287858864 85532575717728