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164734912020 = 223572311807493
BaseRepresentation
bin1001100101101011110…
…1110100011000010100
3120202012122210121012210
42121122331310120110
510144334114141040
6203402252513420
714621166435300
oct2313275643024
9522178717183
10164734912020
1163955621698
1227b1547b870
13126c4202403
147d8a6ccd00
1544424ce480
hex265af74614

164734912020 has 144 divisors (see below), whose sum is σ = 553874001408. Its totient is φ = 36439038720.

The previous prime is 164734912007. The next prime is 164734912039. The reversal of 164734912020 is 20219437461.

164734912020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164734912020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812607 + ... + 994886.

It is an arithmetic number, because the mean of its divisors is an integer number (3846347232).

Almost surely, 2164734912020 is an apocalyptic number.

164734912020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164734912020 is an abundant number, since it is smaller than the sum of its proper divisors (389139089388).

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

164734912020 is a wasteful number, since it uses less digits than its factorization.

164734912020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807550 (or 1807541 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 164734912020 in words is "one hundred sixty-four billion, seven hundred thirty-four million, nine hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1470 1519 1860 2170 2604 2940 3038 3255 4340 4557 6076 6510 7595 9114 13020 15190 18228 22785 30380 45570 91140 1807493 3614986 5422479 7229972 9037465 10844958 12652451 18074930 21689916 25304902 27112395 36149860 37957353 50609804 54224790 56032283 63262255 75914706 88567157 108449580 112064566 126524510 151829412 168096849 177134314 189786765 224129132 253049020 265701471 280161415 336193698 354268628 379573530 392225981 442835785 531402942 560322830 672387396 759147060 784451962 840484245 885671570 1062805884 1120645660 1176677943 1328507355 1568903924 1680968490 1771343140 1961129905 2353355886 2657014710 2745581867 3361936980 3922259810 4706711772 5314029420 5491163734 5883389715 7844519620 8236745601 10982327468 11766779430 13727909335 16473491202 23533558860 27455818670 32946982404 41183728005 54911637340 82367456010 164734912020