Search a number
-
+
21691167163248 = 24311593200029
BaseRepresentation
bin1001110111010010111100…
…10100000100001101110000
32211210122200201211201201210
410323221132110010031300
510320342002243210443
6114044441251400120
74366064225515542
oct473513624041560
984718621751653
1021691167163248
116a03199415640
122523a87bb3040
13c14611a9728b
1454dc02869692
15279384ee7c33
hex13ba5e504370

21691167163248 has 160 divisors (see below), whose sum is σ = 62183918188800. Its totient is φ = 6461640503040.

The previous prime is 21691167163177. The next prime is 21691167163301. The reversal of 21691167163248 is 84236176119612.

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, 108340098 + ... + 108540126.

It is an arithmetic number, because the mean of its divisors is an integer number (388649488680).

Almost surely, 221691167163248 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 21691167163248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31091959094400).

21691167163248 is an abundant number, since it is smaller than the sum of its proper divisors (40492751025552).

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

21691167163248 is an equidigital number, since it uses as much as digits as its factorization.

21691167163248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200228 (or 200104 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 21691167163248 in words is "twenty-one trillion, six hundred ninety-one billion, one hundred sixty-seven million, one hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3481 3894 5192 6962 7788 10384 10443 13924 15576 20886 27848 31152 38291 41772 55696 76582 83544 114873 153164 167088 200029 205379 229746 306328 400058 410758 459492 600087 612656 616137 800116 821516 918984 1200174 1232274 1600232 1643032 1837968 2200319 2259169 2400348 2464548 3200464 3286064 4400638 4518338 4800696 4929096 6600957 6777507 8801276 9036676 9601392 9858192 11801711 13201914 13555014 17602552 18073352 23603422 26403828 27110028 35205104 35405133 36146704 47206844 52807656 54220056 70810266 94413688 105615312 108440112 129818821 141620532 188827376 259637642 283241064 389456463 519275284 566482128 696300949 778912926 1038550568 1392601898 1557825852 2077101136 2088902847 2785203796 3115651704 4177805694 5570407592 6231303408 7659310439 8355611388 11140815184 15318620878 16711222776 22977931317 30637241756 33422445552 41081755991 45955862634 61274483512 82163511982 91911725268 122548967024 123245267973 164327023964 183823450536 246490535946 328654047928 367646901072 451899315901 492981071892 657308095856 903798631802 985962143784 1355697947703 1807597263604 1971924287568 2711395895406 3615194527208 5422791790812 7230389054416 10845583581624 21691167163248