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135169344891 = 3372432419859
BaseRepresentation
bin111110111100010111…
…0001000010101111011
3110220220011222011201000
41331320232020111323
54203311323014031
6142032420100043
712523423321500
oct1757056102573
9426804864630
10135169344891
1152363631499
1222243b34623
13c991b464a9
146783c4d4a7
1537b1abb3e6
hex1f78b8857b

135169344891 has 96 divisors (see below), whose sum is σ = 239375558400. Its totient is φ = 75122691840.

The previous prime is 135169344883. The next prime is 135169344949. The reversal of 135169344891 is 198443961531.

135169344891 is a `hidden beast` number, since 1 + 3 + 51 + 69 + 3 + 448 + 91 = 666.

It is not a de Polignac number, because 135169344891 - 23 = 135169344883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135169344811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13705320 + ... + 13715178.

It is an arithmetic number, because the mean of its divisors is an integer number (2493495400).

Almost surely, 2135169344891 is an apocalyptic number.

135169344891 is a deficient number, since it is larger than the sum of its proper divisors (104206213509).

135169344891 is a wasteful number, since it uses less digits than its factorization.

135169344891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10166 (or 10153 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 135169344891 in words is "one hundred thirty-five billion, one hundred sixty-nine million, three hundred forty-four thousand, eight hundred ninety-one".

Divisors: 1 3 7 9 21 27 43 49 63 129 147 189 241 301 387 441 723 903 1161 1323 1687 2107 2169 2709 5061 6321 6507 8127 9859 10363 11809 15183 18963 29577 31089 35427 45549 56889 69013 72541 88731 93267 106281 207039 217623 266193 279801 318843 423937 483091 507787 621117 652869 1271811 1449273 1523361 1863351 1958607 2376019 2967559 3815433 4347819 4570083 7128057 8902677 11446299 13043457 13710249 16632133 20772913 21384171 26708031 49896399 62318739 64152513 80124093 102168817 116424931 149689197 186956217 306506451 349274793 449067591 560868651 715181719 919519353 1047824379 2145545157 2758558059 3143473137 5006272033 6436635471 15018816099 19309906413 45056448297 135169344891