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195827490576 = 2432368772
BaseRepresentation
bin1011011001100000111…
…0100101111100010000
3200201110112222020121100
42312120032211330100
511202023314144301
6225543434424400
720101534130334
oct2663016457420
9621415866540
10195827490576
1176060571103
1231b52292100
131560aa4a1a3
149699ca37c4
155161ec5286
hex2d983a5f10

195827490576 has 45 divisors (see below), whose sum is σ = 548059852821. Its totient is φ = 65274060096.

The previous prime is 195827490503. The next prime is 195827490577. The reversal of 195827490576 is 675094728591.

The square root of 195827490576 is 442524.

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

195827490576 is a `hidden beast` number, since 1 + 9 + 58 + 2 + 7 + 4 + 9 + 0 + 576 = 666.

195827490576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 172042448400 + 23785042176 = 414780^2 + 154224^2 .

It is not an unprimeable number, because it can be changed into a prime (195827490577) 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, 5291850 + ... + 5328726.

Almost surely, 2195827490576 is an apocalyptic number.

195827490576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195827490576 is the 442524-th square number.

It is an amenable number.

195827490576 is an abundant number, since it is smaller than the sum of its proper divisors (352232362245).

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

195827490576 is an frugal number, since it uses more digits than its factorization.

195827490576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73768 (or 36882 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 195827490576 in words is "one hundred ninety-five billion, eight hundred twenty-seven million, four hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 36877 73754 110631 147508 221262 295016 331893 442524 590032 663786 885048 1327572 1770096 2655144 5310288 1359913129 2719826258 4079739387 5439652516 8159478774 10879305032 12239218161 16318957548 21758610064 24478436322 32637915096 48956872644 65275830192 97913745288 195827490576