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164178178920 = 23325729307153
BaseRepresentation
bin1001100011100111001…
…0000011001101101000
3120200202212012121222100
42120321302003031220
510142214103211140
6203231124053400
714601326331600
oct2307162031550
9520685177870
10164178178920
116369a335898
122799ab34260
1312635a75342
147d367a9c00
15440d6ab530
hex2639c83368

164178178920 has 144 divisors (see below), whose sum is σ = 620694100260. Its totient is φ = 37526436864.

The previous prime is 164178178909. The next prime is 164178178949. The reversal of 164178178920 is 29871871461.

It can be written as a sum of positive squares in 2 ways, for example, as 142852249764 + 21325929156 = 377958^2 + 146034^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4635937 + ... + 4671216.

Almost surely, 2164178178920 is an apocalyptic number.

164178178920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164178178920 is an abundant number, since it is smaller than the sum of its proper divisors (456515921340).

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

164178178920 is a wasteful number, since it uses less digits than its factorization.

164178178920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307184 (or 9307170 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 164178178920 in words is "one hundred sixty-four billion, one hundred seventy-eight million, one hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 9307153 18614306 27921459 37228612 46535765 55842918 65150071 74457224 83764377 93071530 111685836 130300142 139607295 167528754 186143060 195450213 223371672 260600284 279214590 325750355 335057508 372286120 390900426 418821885 456050497 521200568 558429180 586350639 651500710 670115016 781800852 837643770 912100994 977251065 1116858360 1172701278 1303001420 1368151491 1563601704 1675287540 1824201988 1954502130 2280252485 2345402556 2606002840 2736302982 2931753195 3350575080 3648403976 3909004260 4104454473 4560504970 4690805112 5472605964 5863506390 6840757455 7818008520 8208908946 9121009940 10945211928 11727012780 13681514910 16417817892 18242019880 20522272365 23454025560 27363029820 32835635784 41044544730 54726059640 82089089460 164178178920