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20305127745126 = 235719314136077
BaseRepresentation
bin1001001110111101001111…
…11011010010011001100110
32122220011002021010222100000
410213132213323102121212
510130134400200321001
6111104014044402130
74163665665041430
oct447364773223146
978804067128300
1020305127745126
1165193a1293124
12233b32a246346
13b439c457a553
14502ab83d5650
152532b27d1a86
hex1277a7ed2666

20305127745126 has 96 divisors (see below), whose sum is σ = 54885855548160. Its totient is φ = 5496124785696.

The previous prime is 20305127745053. The next prime is 20305127745143. The reversal of 20305127745126 is 62154772150302.

20305127745126 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 5 + 127 + 7 + 4 + 512 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157003401 + ... + 157132676.

It is an arithmetic number, because the mean of its divisors is an integer number (571727661960).

Almost surely, 220305127745126 is an apocalyptic number.

20305127745126 is an abundant number, since it is smaller than the sum of its proper divisors (34580727803034).

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

20305127745126 is a wasteful number, since it uses less digits than its factorization.

20305127745126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314136120 (or 314136108 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

Adding to 20305127745126 its reverse (62154772150302), we get a palindrome (82459899895428).

The spelling of 20305127745126 in words is "twenty trillion, three hundred five billion, one hundred twenty-seven million, seven hundred forty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 486 513 567 798 1026 1134 1197 1539 1701 2394 3078 3402 3591 4617 7182 9234 10773 21546 32319 64638 314136077 628272154 942408231 1884816462 2198952539 2827224693 4397905078 5654449386 5968585463 6596857617 8481674079 11937170926 13193715234 16963348158 17905756389 19790572851 25445022237 35811512778 39581145702 41780098241 50890044474 53717269167 59371718553 76335066711 83560196482 107434538334 118743437106 125340294723 152670133422 161151807501 178115155659 250680589446 322303615002 356230311318 376020884169 483455422503 534345466977 752041768338 966910845006 1068690933954 1128062652507 1450366267509 2256125305014 2900732535018 3384187957521 6768375915042 10152563872563 20305127745126