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20351645103064 = 23113110179339311
BaseRepresentation
bin1001010000010011111001…
…00100111011001111011000
32200001121011010202121011211
410220021330210323033120
510131420132121244224
6111141230001032504
74200233511050662
oct450117444731730
980047133677154
1020351645103064
1165370a21046a0
122348350925734
13b481c894a612
1450504c3a5532
152545d6547894
hex12827c93b3d8

20351645103064 has 128 divisors (see below), whose sum is σ = 43406804828160. Its totient is φ = 8861630400000.

The previous prime is 20351645103047. The next prime is 20351645103077. The reversal of 20351645103064 is 46030154615302.

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, 2185758969 + ... + 2185768279.

It is an arithmetic number, because the mean of its divisors is an integer number (339115662720).

Almost surely, 220351645103064 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 20351645103064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703402414080).

20351645103064 is an abundant number, since it is smaller than the sum of its proper divisors (23055159725096).

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

20351645103064 is a wasteful number, since it uses less digits than its factorization.

20351645103064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17393 (or 17389 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 20351645103064 its reverse (46030154615302), we get a palindrome (66381799718366).

The spelling of 20351645103064 in words is "twenty trillion, three hundred fifty-one billion, six hundred forty-five million, one hundred three thousand, sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 101 124 202 248 341 404 682 808 1111 1364 2222 2728 3131 4444 6262 7933 8888 9311 12524 15866 18622 25048 31732 34441 37244 63464 68882 74488 87263 102421 137764 174526 204842 245923 275528 288641 349052 409684 491846 577282 698104 801233 819368 940411 983692 1154564 1602466 1880822 1967384 2309128 2705153 3175051 3204932 3761644 5410306 6350102 6409864 7523288 8813563 10344521 10820612 12700204 17627126 20689042 21641224 24838223 25400408 29152741 35254252 41378084 49676446 58305482 70508504 73864163 82756168 99352892 116610964 147728326 198705784 233221928 273220453 295456652 320680151 546440906 590913304 641360302 812505793 1092881812 1282720604 1625011586 2185763624 2289789053 2565441208 3250023172 4579578106 6500046344 7460280463 9159156212 14920560926 18318312424 25187679583 29841121852 50375359166 59682243704 82063085093 100750718332 164126170186 201501436664 231268694353 328252340372 462537388706 656504680744 925074777412 1850149554824 2543955637883 5087911275766 10175822551532 20351645103064