Search a number
-
+
84941110410 = 2351315110311399
BaseRepresentation
bin100111100011011100…
…0100111110010001010
322010020200200111020020
41033012320213302022
52342424411013120
6103004342441310
76064630345212
oct1170670476212
9263220614206
1084941110410
1133029051502
1214566733236
138018a14ca0
14417b0ab242
152322191640
hex13c6e27c8a

84941110410 has 128 divisors (see below), whose sum is σ = 221366476800. Its totient is φ = 20735136000.

The previous prime is 84941110409. The next prime is 84941110427. The reversal of 84941110410 is 1401114948.

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 63 ways as a sum of consecutive naturals, for example, 60714891 + ... + 60716289.

It is an arithmetic number, because the mean of its divisors is an integer number (1729425600).

Almost surely, 284941110410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84941110410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110683238400).

84941110410 is an abundant number, since it is smaller than the sum of its proper divisors (136425366390).

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

84941110410 is a wasteful number, since it uses less digits than its factorization.

84941110410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604.

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 84941110410 in words is "eighty-four billion, nine hundred forty-one million, one hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 151 195 302 390 453 755 906 1031 1399 1510 1963 2062 2265 2798 3093 3926 4197 4530 5155 5889 6186 6995 8394 9815 10310 11778 13403 13990 15465 18187 19630 20985 26806 29445 30930 36374 40209 41970 54561 58890 67015 80418 90935 109122 134030 155681 181870 201045 211249 272805 311362 402090 422498 467043 545610 633747 778405 934086 1056245 1267494 1442369 1556810 2023853 2112490 2335215 2746237 2884738 3168735 4047706 4327107 4670430 5492474 6071559 6337470 7211845 8238711 8654214 10119265 12143118 13731185 14423690 16477422 18750797 20238530 21635535 27462370 30357795 37501594 41193555 43271070 56252391 60715590 82387110 93753985 112504782 187507970 217797719 281261955 435595438 562523910 653393157 1088988595 1306786314 2177977190 2831370347 3266965785 5662740694 6533931570 8494111041 14156851735 16988222082 28313703470 42470555205 84941110410