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81515168201712 = 2437599059453907
BaseRepresentation
bin10010100010001100111010…
…101001001111101111110000
3101200121202220020010122102010
4102202030322221033233300
541141021031024423322
6445211315025322520
723112163600254330
oct2242147251175760
9350552806118363
1081515168201712
1123a78430398a23
129186228a96440
133663b028c74bb
14161b4d890b0c0
159655e377020c
hex4a233aa4fbf0

81515168201712 has 160 divisors (see below), whose sum is σ = 244770433689600. Its totient is φ = 22892723691264.

The previous prime is 81515168201693. The next prime is 81515168201713. The reversal of 81515168201712 is 21710286151518.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81515168201713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179358663 + ... + 179812569.

It is an arithmetic number, because the mean of its divisors is an integer number (1529815210560).

Almost surely, 281515168201712 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 81515168201712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122385216844800).

81515168201712 is an abundant number, since it is smaller than the sum of its proper divisors (163255265487888).

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

81515168201712 is a wasteful number, since it uses less digits than its factorization.

81515168201712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463043 (or 463037 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 48.

The spelling of 81515168201712 in words is "eighty-one trillion, five hundred fifteen billion, one hundred sixty-eight million, two hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9059 9912 18118 19824 27177 36236 54354 63413 72472 108708 126826 144944 190239 217416 253652 380478 434832 453907 507304 534481 760956 907814 1014608 1068962 1361721 1521912 1603443 1815628 2137924 2723442 3043824 3177349 3206886 3631256 3741367 4275848 5446884 6354698 6413772 7262512 7482734 8551696 9532047 10893768 11224101 12709396 12827544 14965468 19064094 21787536 22448202 25418792 25655088 26780513 29930936 38128188 44896404 50837584 53561026 59861872 76256376 80341539 89792808 107122052 152512752 160683078 179585616 187463591 214244104 321366156 374927182 428488208 562390773 642732312 749854364 1124781546 1285464624 1499708728 2249563092 2999417456 4111943513 4499126184 8223887026 8998252368 12335830539 16447774052 24671661078 28783604591 32895548104 49343322156 57567209182 65791096208 86350813773 98686644312 115134418364 172701627546 197373288624 230268836728 242604667267 345403255092 460537673456 485209334534 690806510184 727814001801 970418669068 1381613020368 1455628003602 1698232670869 1940837338136 2911256007204 3396465341738 3881674676272 5094698012607 5822512014408 6792930683476 10189396025214 11645024028816 13585861366952 20378792050428 27171722733904 40757584100856 81515168201712