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189214287360 = 2935711331147
BaseRepresentation
bin1011000000111000001…
…1001110011000000000
3200002101200001201020220
42300032003032120000
511100002324143420
6222531314503040
716445622622440
oct2601603163000
9602350051226
10189214287360
11732775946aa
1230807594a80
1314ac5911ca7
14922d872120
154dc6612840
hex2c0e0ce600

189214287360 has 320 divisors, whose sum is σ = 697448074752. Its totient is φ = 42864869376.

The previous prime is 189214287341. The next prime is 189214287389. The reversal of 189214287360 is 63782412981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059307 + ... + 6090453.

Almost surely, 2189214287360 is an apocalyptic number.

189214287360 is a gapful number since it is divisible by the number (10) 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 189214287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348724037376).

189214287360 is an abundant number, since it is smaller than the sum of its proper divisors (508233787392).

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

189214287360 is a wasteful number, since it uses less digits than its factorization.

189214287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31293 (or 31277 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 189214287360 in words is "one hundred eighty-nine billion, two hundred fourteen million, two hundred eighty-seven thousand, three hundred sixty".