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20800742533116 = 223713213710695283
BaseRepresentation
bin1001011101011000011001…
…10111101010011111111100
32201122112100111210211120220
410232230030313222133330
510211244410042024431
6112123421301341340
74244542535163330
oct456541467523774
981575314724526
1020800742533116
11669a5aa981967
1223bb3a6707850
13b7b66a042300
1451ca9306d7c0
1526111d44cb96
hex12eb0cdea7fc

20800742533116 has 144 divisors (see below), whose sum is σ = 60502109278464. Its totient is φ = 5445866469888.

The previous prime is 20800742533079. The next prime is 20800742533117. The reversal of 20800742533116 is 61133524700802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20800742533117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402790 + ... + 7292493.

It is an arithmetic number, because the mean of its divisors is an integer number (420153536656).

Almost surely, 220800742533116 is an apocalyptic number.

20800742533116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20800742533116 is an abundant number, since it is smaller than the sum of its proper divisors (39701366745348).

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

20800742533116 is a wasteful number, since it uses less digits than its factorization.

20800742533116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695460 (or 10695445 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20800742533116 in words is "twenty trillion, eight hundred billion, seven hundred forty-two million, five hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 137 156 169 182 273 274 338 364 411 507 546 548 676 822 959 1014 1092 1183 1644 1781 1918 2028 2366 2877 3549 3562 3836 4732 5343 5754 7098 7124 10686 11508 12467 14196 21372 23153 24934 37401 46306 49868 69459 74802 92612 138918 149604 162071 277836 324142 486213 648284 972426 1944852 10695283 21390566 32085849 42781132 64171698 74866981 128343396 139038679 149733962 224600943 278077358 299467924 417116037 449201886 556154716 834232074 898403772 973270753 1465253771 1668464148 1807502827 1946541506 2919812259 2930507542 3615005654 3893083012 4395761313 5422508481 5839624518 5861015084 7230011308 8791522626 10256776397 10845016962 11679249036 12652519789 17583045252 19048299023 20513552794 21690033924 25305039578 30770329191 37957559367 38096598046 41027105588 50610079156 57144897069 61540658382 75915118734 76193196092 114289794138 123081316764 133338093161 151830237468 228579588276 247627887299 266676186322 400014279483 495255774598 533352372644 742883661897 800028558966 990511549196 1485767323794 1600057117932 1733395211093 2971534647588 3466790422186 5200185633279 6933580844372 10400371266558 20800742533116