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188620833025 = 52868612
BaseRepresentation
bin1010111110101010101…
…1011000000100000001
3200000212022101002221201
42233222223120010001
511042243413124100
6222352355021201
716425125425042
oct2575253300401
9600768332851
10188620833025
1172aa25a7679
123068089a801
1314a2c998891
1491b4b108c9
154d8e48936a
hex2beaad8101

188620833025 has 9 divisors (see below), whose sum is σ = 233892525673. Its totient is φ = 150894929200.

The previous prime is 188620833013. The next prime is 188620833047. The reversal of 188620833025 is 520338026881.

It is a happy number.

The square root of 188620833025 is 434305.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1602641089 + 187018191936 = 40033^2 + 432456^2 .

It is not a de Polignac number, because 188620833025 - 223 = 188612444417 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2128095 + ... + 2214955.

Almost surely, 2188620833025 is an apocalyptic number.

188620833025 is the 434305-th square number.

188620833025 is the 217153-rd centered octagonal number.

It is an amenable number.

188620833025 is a deficient number, since it is larger than the sum of its proper divisors (45271692648).

188620833025 is an frugal number, since it uses more digits than its factorization.

188620833025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173732 (or 86866 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 188620833025 in words is "one hundred eighty-eight billion, six hundred twenty million, eight hundred thirty-three thousand, twenty-five".

Divisors: 1 5 25 86861 434305 2171525 7544833321 37724166605 188620833025