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164622640842 = 234111941118589
BaseRepresentation
bin1001100101010001000…
…1100010011011001010
3120201220211112122010000
42121110101202123022
510144121344001332
6203343202303430
714615334234132
oct2312421423312
9521824478100
10164622640842
11638a82096a0
1227aa3957b76
13126a6b8336a
147d79825ac2
154437703b7c
hex26544626ca

164622640842 has 160 divisors (see below), whose sum is σ = 433925553600. Its totient is φ = 46107014400.

The previous prime is 164622640807. The next prime is 164622640849. The reversal of 164622640842 is 248046226461.

164622640842 is a `hidden beast` number, since 16 + 4 + 6 + 226 + 408 + 4 + 2 = 666.

164622640842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1646226408422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164622640849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1328884 + ... + 1447472.

It is an arithmetic number, because the mean of its divisors is an integer number (2712034710).

Almost surely, 2164622640842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164622640842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216962776800).

164622640842 is an abundant number, since it is smaller than the sum of its proper divisors (269302912758).

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

164622640842 is a wasteful number, since it uses less digits than its factorization.

164622640842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118674 (or 118665 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 164622640842 in words is "one hundred sixty-four billion, six hundred twenty-two million, six hundred forty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 41 54 57 66 81 82 99 114 123 162 171 198 209 246 297 342 369 418 451 513 594 627 738 779 891 902 1026 1107 1254 1353 1539 1558 1782 1881 2214 2337 2706 3078 3321 3762 4059 4674 5643 6642 7011 8118 8569 11286 12177 14022 16929 17138 21033 24354 25707 33858 36531 42066 51414 63099 73062 77121 118589 126198 154242 231363 237178 355767 462726 694089 711534 1067301 1304479 1388178 2134602 2253191 2608958 3201903 3913437 4506382 4862149 6403806 6759573 7826874 9605709 9724298 11740311 13519146 14586447 19211418 20278719 23480622 24785101 29172894 35220933 40557438 43759341 49570202 53483639 60836157 70441866 74355303 87518682 92380831 105662799 106967278 121672314 131278023 148710606 160450917 182508471 184761662 211325598 223065909 262556046 277142493 320901834 365016942 393834069 446131818 481352751 554284986 669197727 787668138 831427479 962705502 1016189141 1338395454 1444058253 1662854958 2007593181 2032378282 2494282437 2888116506 3048567423 4015186362 4332174759 4988564874 6097134846 7482847311 8664349518 9145702269 14965694622 18291404538 27437106807 54874213614 82311320421 164622640842