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81116114160 = 24355321130223
BaseRepresentation
bin100101110001011100…
…1011010110011110000
321202101010021112210110
41023202321122303300
52312111211123120
6101133023501320
75601063410514
oct1134271326360
9252333245713
1081116114160
1131445a28184
1213879757840
1378594382b3
143cd70b0144
15219b4892e0
hex12e2e5acf0

81116114160 has 160 divisors (see below), whose sum is σ = 257427237888. Its totient is φ = 21121551360.

The previous prime is 81116114119. The next prime is 81116114201. The reversal of 81116114160 is 6141161118.

It is an interprime number because it is at equal distance from previous prime (81116114119) and next prime (81116114201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2668809 + ... + 2699031.

Almost surely, 281116114160 is an apocalyptic number.

81116114160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81116114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128713618944).

81116114160 is an abundant number, since it is smaller than the sum of its proper divisors (176311123728).

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

81116114160 is a wasteful number, since it uses less digits than its factorization.

81116114160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30503 (or 30497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

Adding to 81116114160 its reverse (6141161118), we get a palindrome (87257275278).

The spelling of 81116114160 in words is "eighty-one billion, one hundred sixteen million, one hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 211 212 240 265 318 422 424 530 633 636 795 844 848 1055 1060 1266 1272 1590 1688 2110 2120 2532 2544 3165 3180 3376 4220 4240 5064 6330 6360 8440 10128 11183 12660 12720 16880 22366 25320 30223 33549 44732 50640 55915 60446 67098 89464 90669 111830 120892 134196 151115 167745 178928 181338 223660 241784 268392 302230 335490 362676 447320 453345 483568 536784 604460 670980 725352 894640 906690 1208920 1341960 1450704 1601819 1813380 2417840 2683920 3203638 3626760 4805457 6377053 6407276 7253520 8009095 9610914 12754106 12814552 16018190 19131159 19221828 24027285 25508212 25629104 31885265 32036380 38262318 38443656 48054570 51016424 63770530 64072760 76524636 76887312 95655795 96109140 102032848 127541060 128145520 153049272 191311590 192218280 255082120 306098544 337983809 382623180 384436560 510164240 675967618 765246360 1013951427 1351935236 1530492720 1689919045 2027902854 2703870472 3379838090 4055805708 5069757135 5407740944 6759676180 8111611416 10139514270 13519352360 16223222832 20279028540 27038704720 40558057080 81116114160