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20311801918218 = 2331971331842393
BaseRepresentation
bin1001001111001001101011…
…01111001111001100001010
32122220210022101210002122000
410213210311233033030022
510130242032242340333
6111111040223211430
74164323246423136
oct447446557171412
978823271702560
1020311801918218
116521206723158
122340691446b76
13b44519211cb5
1450314c9783c6
152535536d9713
hex127935bcf30a

20311801918218 has 128 divisors (see below), whose sum is σ = 48327806822400. Its totient is φ = 6304798684800.

The previous prime is 20311801918193. The next prime is 20311801918249. The reversal of 20311801918218 is 81281910811302.

20311801918218 is a `hidden beast` number, since 20 + 311 + 80 + 19 + 18 + 218 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23690830 + ... + 24533222.

It is an arithmetic number, because the mean of its divisors is an integer number (377560990800).

Almost surely, 220311801918218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311801918218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24163903411200).

20311801918218 is an abundant number, since it is smaller than the sum of its proper divisors (28016004904182).

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

20311801918218 is a wasteful number, since it uses less digits than its factorization.

20311801918218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842825 (or 842819 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 20311801918218 in words is "twenty trillion, three hundred eleven billion, eight hundred one million, nine hundred eighteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 71 114 142 171 213 331 342 426 513 639 662 993 1026 1278 1349 1917 1986 2698 2979 3834 4047 5958 6289 8094 8937 12141 12578 17874 18867 23501 24282 36423 37734 47002 56601 70503 72846 113202 141006 169803 211509 339606 423018 446519 634527 842393 893038 1269054 1339557 1684786 2527179 2679114 4018671 5054358 7581537 8037342 12056013 15163074 16005467 22744611 24112026 32010934 45489222 48016401 59809903 96032802 119619806 144049203 179429709 278832083 288098406 358859418 432147609 538289127 557664166 836496249 864295218 1076578254 1136388157 1614867381 1672992498 2272776314 2509488747 3229734762 3409164471 5018977494 5297809577 6818328942 7528466241 10227493413 10595619154 15056932482 15893428731 19797077893 20454986826 30682480239 31786857462 39594155786 47680286193 59391233679 61364960478 95360572386 118782467358 143040858579 178173701037 286081717158 356347402074 376144479967 534521103111 752288959934 1069042206222 1128433439901 2256866879802 3385300319703 6770600639406 10155900959109 20311801918218