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81324198240 = 2535198917127
BaseRepresentation
bin100101110111101001…
…1001100100101100000
321202220121211022111020
41023233103030211200
52313022443320430
6101205415445440
75606201164605
oct1135723144540
9252817738436
1081324198240
113154243189a
1213917386880
13789059307c
143d169986ac
1521ae88db10
hex12ef4cc960

81324198240 has 96 divisors (see below), whose sum is σ = 269653950720. Its totient is φ = 20545058304.

The previous prime is 81324198229. The next prime is 81324198247. The reversal of 81324198240 is 4289142318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×813241982402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81324198192 and 81324198201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81324198247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449444 + ... + 4467683.

It is an arithmetic number, because the mean of its divisors is an integer number (2808895320).

Almost surely, 281324198240 is an apocalyptic number.

81324198240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81324198240 is an abundant number, since it is smaller than the sum of its proper divisors (188329752480).

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

81324198240 is a wasteful number, since it uses less digits than its factorization.

81324198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8917164 (or 8917156 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 81324198240 in words is "eighty-one billion, three hundred twenty-four million, one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 8917127 17834254 26751381 35668508 44585635 53502762 71337016 89171270 107005524 133756905 142674032 169425413 178342540 214011048 267513810 285348064 338850826 356685080 428022096 508276239 535027620 677701652 713370160 847127065 856044192 1016552478 1070055240 1355403304 1426740320 1694254130 2033104956 2140110480 2541381195 2710806608 3388508260 4066209912 4280220960 5082762390 5421613216 6777016520 8132419824 10165524780 13554033040 16264839648 20331049560 27108066080 40662099120 81324198240