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20318966347792 = 2473171282116987
BaseRepresentation
bin1001001111010111000001…
…10001010111100000010000
32122221110210200220211101111
410213223200301113200100
510130401220341112132
6111114223153543104
74164665633161000
oct447534061274020
978843720824344
1020318966347792
116524252875132
122341b50874a94
13b450bb5c9938
1450362c298000
15253822683647
hex127ae0c57810

20318966347792 has 160 divisors (see below), whose sum is σ = 48617454355200. Its totient is φ = 8194763888640.

The previous prime is 20318966347783. The next prime is 20318966347853. The reversal of 20318966347792 is 29774366981302.

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 31 ways as a sum of consecutive naturals, for example, 1196139523 + ... + 1196156509.

It is an arithmetic number, because the mean of its divisors is an integer number (303859089720).

Almost surely, 220318966347792 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 20318966347792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308727177600).

20318966347792 is an abundant number, since it is smaller than the sum of its proper divisors (28298488007408).

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

20318966347792 is a wasteful number, since it uses less digits than its factorization.

20318966347792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29854 (or 29834 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 67.

The spelling of 20318966347792 in words is "twenty trillion, three hundred eighteen billion, nine hundred sixty-six million, three hundred forty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 343 392 476 686 784 833 952 1372 1666 1904 2744 3332 5488 5831 6664 11662 12821 13328 16987 23324 25642 33974 46648 51284 67948 89747 93296 102568 118909 135896 179494 205136 217957 237818 271792 288779 358988 435914 475636 577558 628229 717976 832363 871828 951272 1155116 1256458 1435952 1525699 1664726 1743656 1902544 2021453 2310232 2512916 3051398 3329452 3487312 4042906 4397603 4620464 5025832 5826541 6102796 6658904 8085812 8795206 10051664 10679893 11653082 12205592 13317808 14150171 16171624 17590412 21359786 23306164 24411184 28300342 32343248 35180824 42719572 46612328 56600684 70361648 74759251 85439144 93224656 99051197 113201368 149518502 170878288 198102394 217790327 226402736 299037004 396204788 435580654 598074008 792409576 871161308 1196148016 1524532289 1584819152 1742322616 3049064578 3484645232 3702435559 6098129156 7404871118 10671726023 12196258312 14809742236 21343452046 24392516624 25917048913 29619484472 42686904092 51834097826 59238968944 74702082161 85373808184 103668195652 149404164322 170747616368 181419342391 207336391304 298808328644 362838684782 414672782608 597616657288 725677369564 1195233314576 1269935396737 1451354739128 2539870793474 2902709478256 5079741586948 10159483173896 20318966347792