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812691868032 = 27331121377627
BaseRepresentation
bin10111101001110000011…
…01011100100110000000
32212200200220010102212000
423310320031130212000
5101303343104234112
61421202343104000
7112500155620512
oct13647015344600
92780626112760
10812691868032
1129372a411030
12111608a42000
135b837564065
142b497c01bb2
151621767a7dc
hexbd3835c980

812691868032 has 128 divisors (see below), whose sum is σ = 2616621667200. Its totient is φ = 246270251520.

The previous prime is 812691867959. The next prime is 812691868073. The reversal of 812691868032 is 230868196218.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 812691868032.

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, 10650798 + ... + 10726829.

It is an arithmetic number, because the mean of its divisors is an integer number (20442356775).

Almost surely, 2812691868032 is an apocalyptic number.

It is an amenable number.

812691868032 is an abundant number, since it is smaller than the sum of its proper divisors (1803929799168).

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

812691868032 is a wasteful number, since it uses less digits than its factorization.

812691868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21377661 (or 21377643 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 81269186 and 8032, that added together give a palindrome (81277218).

The spelling of 812691868032 in words is "eight hundred twelve billion, six hundred ninety-one million, eight hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 21377627 42755254 64132881 85510508 128265762 171021016 192398643 235153897 256531524 342042032 384797286 470307794 513063048 577195929 684084064 705461691 769594572 940615588 1026126096 1154391858 1368168128 1410923382 1539189144 1881231176 2052252192 2116385073 2308783716 2736336256 2821846764 3078378288 3762462352 4104504384 4232770146 4617567432 5643693528 6156756576 6349155219 7524924704 8209008768 8465540292 9235134864 11287387056 12313513152 12698310438 15049849408 16931080584 18470269728 22574774112 24627026304 25396620876 30099698816 33862161168 36940539456 45149548224 50793241752 67724322336 73881078912 90299096448 101586483504 135448644672 203172967008 270897289344 406345934016 812691868032