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20418143598736 = 2413211327692
BaseRepresentation
bin1001010010001111110000…
…01100100011100010010000
32200021221210112102012002221
410221013320030203202100
510134012324230124421
6111231544330350424
74205106426664132
oct451077014434220
980257715365087
1020418143598736
116562316841734
12235920ab8b414
13b5156581ca00
14508359d4b052
152561c9550841
hex1291f8323890

20418143598736 has 135 divisors (see below), whose sum is σ = 43276047496929. Its totient is φ = 9328216375296.

The previous prime is 20418143598689. The next prime is 20418143598793. The reversal of 20418143598736 is 63789534181402.

The square root of 20418143598736 is 4518644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 17787778613136 + 2630364985600 = 4217556^2 + 1621840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26551551760 + ... + 26551552528.

It is a 1-persistent number, because it is pandigital, but 2⋅20418143598736 = 40836287197472 is not.

Almost surely, 220418143598736 is an apocalyptic number.

20418143598736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20418143598736 is the 4518644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20418143598736

20418143598736 is an abundant number, since it is smaller than the sum of its proper divisors (22857903898193).

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

20418143598736 is an frugal number, since it uses more digits than its factorization.

20418143598736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 20418143598736 in words is "twenty trillion, four hundred eighteen billion, one hundred forty-three million, five hundred ninety-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 113 169 208 226 338 452 676 769 904 1352 1469 1538 1808 2704 2938 3076 5876 6152 9997 11752 12304 12769 19097 19994 23504 25538 38194 39988 51076 76388 79976 86897 102152 129961 152776 159952 165997 173794 204304 259922 305552 331994 347588 519844 591361 663988 695176 1039688 1129661 1182722 1327976 1390352 2079376 2157961 2259322 2365444 2655952 4315922 4518644 4730888 7687693 8631844 9037288 9461776 9819361 14685593 15375386 17263688 18074576 19638722 29371186 30750772 34527376 39277444 58742372 61501544 66823793 78554888 99940009 117484744 123003088 127651693 133647586 157109776 199880018 234969488 255303386 267295172 399760036 510606772 534590344 799520072 868709309 1021213544 1069180688 1599040144 1659472009 1737418618 2042427088 3318944018 3474837236 6637888036 6949674472 7551088609 11293221017 13275776072 13899348944 15102177218 22586442034 26551552144 30204354436 45172884068 60408708872 90345768136 98164151917 120817417744 180691536272 196328303834 392656607668 785313215336 1276133974921 1570626430672 2552267949842 5104535899684 10209071799368 20418143598736