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189458299008 = 273211173312657
BaseRepresentation
bin1011000001110010011…
…0000011100010000000
3200010000200012210022100
42300130212003202000
511101002311032013
6223011432510400
716454644653606
oct2603446034200
9603020183270
10189458299008
11733922a8220
123087524b400
1314b34338a94
14925402d876
154ddcc62473
hex2c1c983880

189458299008 has 384 divisors, whose sum is σ = 631873794240. Its totient is φ = 53850931200.

The previous prime is 189458299007. The next prime is 189458299013. The reversal of 189458299008 is 800992854981.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (189458299007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 71304016 + ... + 71306672.

Almost surely, 2189458299008 is an apocalyptic number.

189458299008 is a gapful number since it is divisible by the number (18) 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 189458299008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315936897120).

189458299008 is an abundant number, since it is smaller than the sum of its proper divisors (442415495232).

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

189458299008 is a wasteful number, since it uses less digits than its factorization.

189458299008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 189458299008 in words is "one hundred eighty-nine billion, four hundred fifty-eight million, two hundred ninety-nine thousand, eight".