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164138244348 = 223131765719419
BaseRepresentation
bin1001100011011101100…
…1101101100011111100
3120200200002001202001010
42120313121231203330
510142123342304343
6203223140115220
714600333025351
oct2306731554374
9520602052033
10164138244348
116367983a411
1227989695b10
131262a702510
147d31372628
154409e1dd33
hex263766d8fc

164138244348 has 96 divisors (see below), whose sum is σ = 436824541440. Its totient is φ = 47520967680.

The previous prime is 164138244299. The next prime is 164138244401. The reversal of 164138244348 is 843442831461.

It is a junction number, because it is equal to n+sod(n) for n = 164138244297 and 164138244306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17421583 + ... + 17431001.

It is an arithmetic number, because the mean of its divisors is an integer number (4550255640).

Almost surely, 2164138244348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164138244348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218412270720).

164138244348 is an abundant number, since it is smaller than the sum of its proper divisors (272686297092).

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

164138244348 is a wasteful number, since it uses less digits than its factorization.

164138244348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16025 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 164138244348 in words is "one hundred sixty-four billion, one hundred thirty-eight million, two hundred forty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 6571 9419 13142 18838 19713 26284 28257 37676 39426 56514 78852 85423 111707 113028 122447 160123 170846 223414 244894 256269 320246 335121 341692 367341 446828 480369 489788 512538 640492 670242 734682 960738 1025076 1340484 1452191 1469364 1921476 2081599 2904382 4163198 4356573 5808764 6244797 8326396 8713146 12489594 17426292 24979188 61892249 123784498 185676747 247568996 371353494 742706988 804599237 1052168233 1609198474 2104336466 2413797711 3156504699 3218396948 4208672932 4827595422 6313009398 9655190844 12626018796 13678187029 27356374058 41034561087 54712748116 82069122174 164138244348