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20342432204224 = 2613172949594399
BaseRepresentation
bin1001010000000010101110…
…11100100000010111000000
32200000201101002001211212021
410220001113130200113000
510131242300121013344
6111133103452411224
74166456301520414
oct450012734402700
980021332054767
1020342432204224
1165331a4720409
1223465bb476b14
13b4738b047ba0
145048169b0d44
15254247814b84
hex1280577205c0

20342432204224 has 112 divisors (see below), whose sum is σ = 47616575328000. Its totient is φ = 8531823476736.

The previous prime is 20342432204197. The next prime is 20342432204233. The reversal of 20342432204224 is 42240223424302.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 20342432204224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24387024 + ... + 25207375.

It is an arithmetic number, because the mean of its divisors is an integer number (425147994000).

Almost surely, 220342432204224 is an apocalyptic number.

It is an amenable number.

20342432204224 is an abundant number, since it is smaller than the sum of its proper divisors (27274143123776).

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

20342432204224 is a wasteful number, since it uses less digits than its factorization.

20342432204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49594470 (or 49594460 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 20342432204224 its reverse (42240223424302), we get a palindrome (62582655628526).

The spelling of 20342432204224 in words is "twenty trillion, three hundred forty-two billion, four hundred thirty-two million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 104 116 136 208 221 232 272 377 416 442 464 493 544 754 832 884 928 986 1088 1508 1768 1856 1972 3016 3536 3944 6032 6409 7072 7888 12064 12818 14144 15776 24128 25636 31552 51272 102544 205088 410176 49594399 99188798 198377596 396755192 644727187 793510384 843104783 1289454374 1438237571 1587020768 1686209566 2578908748 2876475142 3174041536 3372419132 5157817496 5752950284 6744838264 10315634992 10960362179 11505900568 13489676528 18697088423 20631269984 21920724358 23011801136 24450038707 26979353056 37394176846 41262539968 43841448716 46023602272 48900077414 53958706112 74788353692 87682897432 92047204544 97800154828 149576707384 175365794864 195600309656 299153414768 317850503191 350731589728 391200619312 598306829536 635701006382 701463179456 782401238624 1196613659072 1271402012764 1564802477248 2542804025528 5085608051056 10171216102112 20342432204224