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189587657728 = 210734312553
BaseRepresentation
bin1011000010010001001…
…1100001010000000000
3200010100200121220010001
42300210103201100000
511101233420021403
6223032333245344
716461105334000
oct2604423412000
9603320556101
10189587657728
1173449321357
12308b0633854
1314b5508b6c1
1492672a4000
154de92b5c1d
hex2c244e1400

189587657728 has 176 divisors, whose sum is σ = 452285468800. Its totient is φ = 79355953152.

The previous prime is 189587657723. The next prime is 189587657741. The reversal of 189587657728 is 827756785981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189587657723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15096700 + ... + 15109252.

It is an arithmetic number, because the mean of its divisors is an integer number (2569803800).

Almost surely, 2189587657728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189587657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226142734400).

189587657728 is an abundant number, since it is smaller than the sum of its proper divisors (262697811072).

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

189587657728 is an equidigital number, since it uses as much as digits as its factorization.

189587657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12605 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 73.

The spelling of 189587657728 in words is "one hundred eighty-nine billion, five hundred eighty-seven million, six hundred fifty-seven thousand, seven hundred twenty-eight".