Search a number
-
+
574040065212 = 223383251255133
BaseRepresentation
bin10000101101001110111…
…01000100010010111100
32000212200211122201201000
420112213131010102330
533401113224041322
61115413234450300
756321151021645
oct10264735042274
92025624581630
10574040065212
112014a3719339
1293304a33990
13421935a4253
141dad861c6cc
15edeac803ac
hex85a77444bc

574040065212 has 96 divisors (see below), whose sum is σ = 1512189423360. Its totient is φ = 188287416000.

The previous prime is 574040065187. The next prime is 574040065219. The reversal of 574040065212 is 212560040475.

It is a happy number.

574040065212 is a `hidden beast` number, since 57 + 40 + 40 + 0 + 6 + 521 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (574040065219) by changing a digit.

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, 2122398 + ... + 2377530.

It is an arithmetic number, because the mean of its divisors is an integer number (15751973160).

Almost surely, 2574040065212 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 574040065212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756094711680).

574040065212 is an abundant number, since it is smaller than the sum of its proper divisors (938149358148).

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

574040065212 is a wasteful number, since it uses less digits than its factorization.

574040065212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255480 (or 255472 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 574040065212 in words is "five hundred seventy-four billion, forty million, sixty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 251 332 498 502 747 753 996 1004 1494 1506 2241 2259 2988 3012 4482 4518 6777 8964 9036 13554 20833 27108 41666 62499 83332 124998 187497 249996 255133 374994 510266 562491 749988 765399 1020532 1124982 1530798 2249964 2296197 3061596 4592394 6888591 9184788 13777182 21176039 27554364 42352078 63528117 64038383 84704156 127056234 128076766 190584351 192115149 254112468 256153532 381168702 384230298 571753053 576345447 762337404 768460596 1143506106 1152690894 1729036341 2287012212 2305381788 3458072682 5315185789 6916145364 10630371578 15945557367 21260743156 31891114734 47836672101 63782229468 95673344202 143510016303 191346688404 287020032606 574040065212