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164729862960 = 243513233226601
BaseRepresentation
bin1001100101101010101…
…0100011101100110000
3120202012022022002012120
42121122222203230300
510144331321103320
6203401552354240
714621105506065
oct2313252435460
9522168262176
10164729862960
1163952793213
1227b13845980
13126c31551c0
147d89b76c6c
154441d33440
hex265aaa3b30

164729862960 has 160 divisors (see below), whose sum is σ = 552307025088. Its totient is φ = 40374681600.

The previous prime is 164729862949. The next prime is 164729863003. The reversal of 164729862960 is 69268927461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 164729862894 and 164729862903.

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, 613660 + ... + 840260.

Almost surely, 2164729862960 is an apocalyptic number.

164729862960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164729862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276153512544).

164729862960 is an abundant number, since it is smaller than the sum of its proper divisors (387577162128).

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

164729862960 is a wasteful number, since it uses less digits than its factorization.

164729862960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226863 (or 226857 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 164729862960 in words is "one hundred sixty-four billion, seven hundred twenty-nine million, eight hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 233 240 260 312 390 466 520 624 699 780 932 1040 1165 1398 1560 1864 2330 2796 3029 3120 3495 3728 4660 5592 6058 6990 9087 9320 11184 12116 13980 15145 18174 18640 24232 27960 30290 36348 45435 48464 55920 60580 72696 90870 121160 145392 181740 226601 242320 363480 453202 679803 726960 906404 1133005 1359606 1812808 2266010 2719212 2945813 3399015 3625616 4532020 5438424 5891626 6798030 8837439 9064040 10876848 11783252 13596060 14729065 17674878 18128080 23566504 27192120 29458130 35349756 44187195 47133008 52798033 54384240 58916260 70699512 88374390 105596066 117832520 141399024 158394099 176748780 211192132 235665040 263990165 316788198 353497560 422384264 527980330 633576396 686374429 706995120 791970495 844768528 1055960660 1267152792 1372748858 1583940990 2059123287 2111921320 2534305584 2745497716 3167881980 3431872145 4118246574 4223842640 5490995432 6335763960 6863744290 8236493148 10295616435 10981990864 12671527920 13727488580 16472986296 20591232870 27454977160 32945972592 41182465740 54909954320 82364931480 164729862960