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20344133665424 = 2431431051907583
BaseRepresentation
bin1001010000000101111001…
…10111000100001010010000
32200000212202122200000211202
410220002330313010022100
510131304241204243144
6111133544352530332
74166546411636612
oct450027467041220
980025678600752
1020344133665424
1165339980a1398
1223469b52509a8
13b4759c6b656a
14504938956db2
152542e6da664e
hex1280bcdc4290

20344133665424 has 80 divisors (see below), whose sum is σ = 41674166206464. Its totient is φ = 9605847888000.

The previous prime is 20344133665421. The next prime is 20344133665469. The reversal of 20344133665424 is 42456633144302.

It is not an unprimeable number, because it can be changed into a prime (20344133665421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21961937 + ... + 22869519.

Almost surely, 220344133665424 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 20344133665424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837083103232).

20344133665424 is an abundant number, since it is smaller than the sum of its proper divisors (21330032541040).

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

20344133665424 is a wasteful number, since it uses less digits than its factorization.

20344133665424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908716 (or 908710 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 47.

The spelling of 20344133665424 in words is "twenty trillion, three hundred forty-four billion, one hundred thirty-three million, six hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1051 1333 2102 2666 4204 5332 8408 10664 16816 21328 32581 45193 65162 90386 130324 180772 260648 361544 521296 723088 907583 1400983 1815166 2801966 3630332 5603932 7260664 11207864 14521328 22415728 28135073 39026069 56270146 78052138 112540292 156104276 225080584 312208552 450161168 624417104 953869733 1209808139 1907739466 2419616278 3815478932 4839232556 7630957864 9678465112 15261915728 19356930224 29569961723 41016398519 59139923446 82032797038 118279846892 164065594076 236559693784 328131188152 473119387568 656262376304 1271508354089 2543016708178 5086033416356 10172066832712 20344133665424