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274960428012 = 223353113425101
BaseRepresentation
bin1000000000001001110…
…10110010101111101100
3222021201110112222101000
410000010322302233230
514001104332144022
6330152020120300
725602530034624
oct4000472625754
9867643488330
10274960428012
11a6678aa2256
1245357836090
131cc0c34b61a
14d445817884
1572442c16ac
hex4004eb2bec

274960428012 has 96 divisors (see below), whose sum is σ = 732739815360. Its totient is φ = 89128166400.

The previous prime is 274960427993. The next prime is 274960428019. The reversal of 274960428012 is 210824069472.

274960428012 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 604 + 28 + 0 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (274960428019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434262 + ... + 859362.

It is an arithmetic number, because the mean of its divisors is an integer number (7632706410).

Almost surely, 2274960428012 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 274960428012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366369907680).

274960428012 is an abundant number, since it is smaller than the sum of its proper divisors (457779387348).

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

274960428012 is a wasteful number, since it uses less digits than its factorization.

274960428012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425280 (or 425272 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 274960428012 in words is "two hundred seventy-four billion, nine hundred sixty million, four hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 113 159 212 226 318 339 452 477 636 678 954 1017 1356 1431 1908 2034 2862 3051 4068 5724 5989 6102 11978 12204 17967 23956 35934 53901 71868 107802 161703 215604 323406 425101 646812 850202 1275303 1700404 2550606 3825909 5101212 7651818 11477727 15303636 22530353 22955454 45060706 45910908 48036413 67591059 90121412 96072826 135182118 144109239 192145652 202773177 270364236 288218478 405546354 432327717 576436956 608319531 811092708 864655434 1216639062 1296983151 1729310868 2433278124 2545929889 2593966302 5091859778 5187932604 7637789667 10183719556 15275579334 22913369001 30551158668 45826738002 68740107003 91653476004 137480214006 274960428012