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164448571107 = 319291037391307
BaseRepresentation
bin1001100100100111100…
…1100000111011100011
3120201110200222222022210
42121021321200323203
510143242313233412
6203314023333203
714611121535162
oct2311171407343
9521420888283
10164448571107
1163818a27507
1227a555b1203
1312679aa7812
147d606733d9
1544272bc83c
hex2649e60ee3

164448571107 has 64 divisors (see below), whose sum is σ = 241592832000. Its totient is φ = 99096939648.

The previous prime is 164448571073. The next prime is 164448571121. The reversal of 164448571107 is 701175844461.

164448571107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164448571107 - 230 = 163374829283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164448571187) 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, 125820748 + ... + 125822054.

It is an arithmetic number, because the mean of its divisors is an integer number (3774888000).

Almost surely, 2164448571107 is an apocalyptic number.

164448571107 is a deficient number, since it is larger than the sum of its proper divisors (77144260893).

164448571107 is a wasteful number, since it uses less digits than its factorization.

164448571107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 164448571107 in words is "one hundred sixty-four billion, four hundred forty-eight million, five hundred seventy-one thousand, one hundred seven".

Divisors: 1 3 19 29 57 87 103 309 551 739 1307 1653 1957 2217 2987 3921 5871 8961 14041 21431 24833 37903 42123 56753 64293 74499 76117 113709 134621 170259 228351 403863 407189 720157 965873 1221567 1446223 2160471 2207393 2557799 2897619 3904009 4338669 6622179 7673397 11712027 18351587 28010317 41940467 55054761 74176171 84030951 99484919 125821401 222528513 298454757 532196023 1596588069 1890213461 2885062651 5670640383 8655187953 54816190369 164448571107