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81684708084 = 223272517611697
BaseRepresentation
bin100110000010011001…
…0011011101011110100
321210211202012010000200
41030010302123223310
52314242241124314
6101305254440500
75621136363660
oct1140462335364
9253752163020
1081684708084
1131707985211
12139b8063130
13791a188bc5
143d4c7dd8a0
1521d1351709
hex1304c9baf4

81684708084 has 144 divisors (see below), whose sum is σ = 237369315456. Its totient is φ = 23201280000.

The previous prime is 81684708037. The next prime is 81684708143. The reversal of 81684708084 is 48080748618.

81684708084 is a `hidden beast` number, since 8 + 16 + 8 + 470 + 80 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 81684708084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48133924 + ... + 48135620.

It is an arithmetic number, because the mean of its divisors is an integer number (1648398024).

Almost surely, 281684708084 is an apocalyptic number.

81684708084 is a gapful number since it is divisible by the number (84) 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 81684708084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118684657728).

81684708084 is an abundant number, since it is smaller than the sum of its proper divisors (155684607372).

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

81684708084 is a wasteful number, since it uses less digits than its factorization.

81684708084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 81684708084 in words is "eighty-one billion, six hundred eighty-four million, seven hundred eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 251 252 502 753 761 1004 1506 1522 1697 1757 2259 2283 3012 3044 3394 3514 4518 4566 5091 5271 5327 6788 6849 7028 9036 9132 10182 10542 10654 11879 13698 15273 15813 15981 20364 21084 21308 23758 27396 30546 31626 31962 35637 47516 47943 61092 63252 63924 71274 95886 106911 142548 191011 191772 213822 382022 425947 427644 573033 764044 851894 1146066 1277841 1291417 1337077 1703788 1719099 2292132 2555682 2582834 2674154 2981629 3438198 3833523 3874251 4011231 5111364 5165668 5348308 5963258 6876396 7667046 7748502 8022462 8944887 9039919 11622753 11926516 12033693 15334092 15497004 16044924 17889774 18079838 23245506 24067386 26834661 27119757 35779548 36159676 46491012 48134772 53669322 54239514 81359271 107338644 108479028 162718542 324145667 325437084 648291334 972437001 1296582668 1944874002 2269019669 2917311003 3889748004 4538039338 5834622006 6807059007 9076078676 11669244012 13614118014 20421177021 27228236028 40842354042 81684708084