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189628221123 = 331117911633067
BaseRepresentation
bin1011000010011010111…
…0010000011011000011
3200010110111221201122000
42300212232100123003
511101324311033443
6223040342515043
716462110166425
oct2604656203303
9603414851560
10189628221123
117346a207220
1230902135a83
1314b605c1803
14926c822815
154decb298d3
hex2c26b906c3

189628221123 has 64 divisors (see below), whose sum is σ = 308547532800. Its totient is φ = 114148651680.

The previous prime is 189628221089. The next prime is 189628221137. The reversal of 189628221123 is 321122826981.

189628221123 is a `hidden beast` number, since 1 + 8 + 9 + 628 + 2 + 2 + 1 + 12 + 3 = 666.

It is not a de Polignac number, because 189628221123 - 28 = 189628220867 is a prime.

It is a super-2 number, since 2×1896282211232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189628221193) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 61827036 + ... + 61830102.

It is an arithmetic number, because the mean of its divisors is an integer number (4821055200).

Almost surely, 2189628221123 is an apocalyptic number.

189628221123 is a deficient number, since it is larger than the sum of its proper divisors (118919311677).

189628221123 is a wasteful number, since it uses less digits than its factorization.

189628221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4423 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 189628221123 in words is "one hundred eighty-nine billion, six hundred twenty-eight million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 179 297 537 1163 1611 1969 3067 3489 4833 5907 9201 10467 12793 17721 27603 31401 33737 38379 53163 82809 101211 115137 208177 303633 345411 548993 624531 910899 1646979 1873593 2289947 3566921 4940937 5620779 6038923 6869841 10700763 14822811 18116769 20609523 32102289 39236131 54350307 61828569 96306867 117708393 163050921 353125179 638478859 1059375537 1915436577 5746309731 7023267449 17238929193 21069802347 63209407041 189628221123