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164344142553363 = 3517233574129741
BaseRepresentation
bin100101010111100001011010…
…001111001110000100010011
3210112220010221212022211100000
4211113201122033032010103
5133020103300443201423
61341310353512301043
746421321025550353
oct4527413217160423
9715803855284300
10164344142553363
1148401a61034903
1216522bb49a1783
1370917809b5006
142c82428418b63
1513eee7d006843
hex95785a3ce113

164344142553363 has 96 divisors (see below), whose sum is σ = 261832229410752. Its totient is φ = 102653991014400.

The previous prime is 164344142553313. The next prime is 164344142553373. The reversal of 164344142553363 is 363355241443461.

164344142553363 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 4 + 1 + 42 + 5 + 533 + 63 = 666.

It is not a de Polignac number, because 164344142553363 - 29 = 164344142552851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164344142553313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5525829673 + ... + 5525859413.

It is an arithmetic number, because the mean of its divisors is an integer number (2727419056362).

Almost surely, 2164344142553363 is an apocalyptic number.

164344142553363 is a deficient number, since it is larger than the sum of its proper divisors (97488086857389).

164344142553363 is a wasteful number, since it uses less digits than its factorization.

164344142553363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35747 (or 35735 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 164344142553363 in words is "one hundred sixty-four trillion, three hundred forty-four billion, one hundred forty-two million, five hundred fifty-three thousand, three hundred sixty-three".

Divisors: 1 3 9 17 27 51 81 153 233 243 459 699 1377 2097 3961 4131 5741 6291 11883 17223 18873 29741 35649 51669 56619 89223 97597 106947 155007 267669 292791 320841 465021 505597 803007 878373 962523 1337653 1395063 1516791 2409021 2635119 4012959 4550373 6929653 7227063 7905357 12038877 13651119 20788959 22740101 23716071 36116631 40953357 62366877 68220303 108349893 117804101 122860071 170743081 187100631 204660909 325049679 353412303 512229243 561301893 613982727 1060236909 1536687729 1683905679 1841948181 2902632377 3180710727 4610063187 5525844543 8707897131 9542132181 13830189561 26123691393 28626396543 39783137873 41490568683 78371074179 119349413619 235113222537 358048240857 676313343841 705339667611 1074144722571 2028940031523 3222434167713 6086820094569 9667302503139 18260460283707 54781380851121 164344142553363