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186485266656 = 253313172342463
BaseRepresentation
bin1010110110101101100…
…0110101100011100000
3122211100110221002122000
42231223120311203200
511023410212013111
6221400430244000
716321164420033
oct2555330654340
9584313832560
10186485266656
11720a7086a97
1230185656600
131477c407240
14905124701a
154cb6c48c56
hex2b6b6358e0

186485266656 has 384 divisors, whose sum is σ = 647192125440. Its totient is φ = 51655532544.

The previous prime is 186485266651. The next prime is 186485266697. The reversal of 186485266656 is 656662584681.

It is a happy number.

186485266656 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 186485266593 and 186485266602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186485266651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4370481 + ... + 4412943.

It is an arithmetic number, because the mean of its divisors is an integer number (1685396160).

Almost surely, 2186485266656 is an apocalyptic number.

186485266656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186485266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323596062720).

186485266656 is an abundant number, since it is smaller than the sum of its proper divisors (460706858784).

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

186485266656 is a wasteful number, since it uses less digits than its factorization.

186485266656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42535 (or 42521 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 186485266656 in words is "one hundred eighty-six billion, four hundred eighty-five million, two hundred sixty-six thousand, six hundred fifty-six".