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164227027868568 = 23327566957478793
BaseRepresentation
bin100101010101110100010101…
…101010001001101110011000
3210112110221122221101102012200
4211111310111222021232120
5133011143423113243233
61341140504410210200
746410003563264550
oct4525642552115630
9715427587342180
10164227027868568
1148367322929805
121650436b423960
1370837084c9662
142c7a8b8384160
1513ebdc64de313
hex955d15a89b98

164227027868568 has 96 divisors (see below), whose sum is σ = 508411428688800. Its totient is φ = 46913730200064.

The previous prime is 164227027868557. The next prime is 164227027868581. The reversal of 164227027868568 is 865868720722461.

164227027868568 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 270 + 278 + 6 + 85 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 164227027868496 and 164227027868505.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25882221 + ... + 31596572.

It is an arithmetic number, because the mean of its divisors is an integer number (5295952382175).

Almost surely, 2164227027868568 is an apocalyptic number.

164227027868568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164227027868568 is an abundant number, since it is smaller than the sum of its proper divisors (344184400820232).

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

164227027868568 is a wasteful number, since it uses less digits than its factorization.

164227027868568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57484481 (or 57484474 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 164227027868568 in words is "one hundred sixty-four trillion, two hundred twenty-seven billion, twenty-seven million, eight hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5669 11338 17007 22676 34014 39683 45352 51021 68028 79366 102042 119049 136056 158732 204084 238098 317464 357147 408168 476196 714294 952392 1428588 2857176 57478793 114957586 172436379 229915172 344872758 402351551 459830344 517309137 689745516 804703102 1034618274 1207054653 1379491032 1609406204 2069236548 2414109306 3218812408 3621163959 4138473096 4828218612 7242327918 9656437224 14484655836 28969311672 325847277517 651694555034 977541832551 1303389110068 1955083665102 2280930942619 2606778220136 2932625497653 3910167330204 4561861885238 5865250995306 6842792827857 7820334660408 9123723770476 11730501990612 13685585655714 18247447540952 20528378483571 23461003981224 27371171311428 41056756967142 54742342622856 82113513934284 164227027868568