Search a number
-
+
1842259804146 = 233173379351991
BaseRepresentation
bin11010110011101111001…
…111011011111111110010
320112010012020211122111000
4122303233033123333302
5220140422002213041
63530153353102430
7250045625651106
oct32635717337762
96463166748430
101842259804146
116503306a4a63
122590610b7a16
13104955537b88
1465247143906
1532dc4b21bb6
hex1acef3dbff2

1842259804146 has 64 divisors (see below), whose sum is σ = 4118739690240. Its totient is φ = 610364263680.

The previous prime is 1842259804097. The next prime is 1842259804157. The reversal of 1842259804146 is 6414089522481.

1842259804146 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 2 + 598 + 0 + 4 + 1 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1842259804092 and 1842259804101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35408211 + ... + 35460201.

It is an arithmetic number, because the mean of its divisors is an integer number (64355307660).

Almost surely, 21842259804146 is an apocalyptic number.

1842259804146 is an abundant number, since it is smaller than the sum of its proper divisors (2276479886094).

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

1842259804146 is a wasteful number, since it uses less digits than its factorization.

1842259804146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55968 (or 55962 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1842259804146 in words is "one trillion, eight hundred forty-two billion, two hundred fifty-nine million, eight hundred four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 173 346 519 1038 1557 3114 3793 4671 7586 9342 11379 22758 34137 51991 68274 102411 103982 155973 204822 311946 467919 656189 935838 1312378 1403757 1968567 2807514 3937134 5905701 8994443 11811402 17717103 17988886 26983329 35434206 53966658 80949987 161899974 197201863 242849961 394403726 485699922 591605589 1183211178 1774816767 3549633534 5324450301 10648900602 34115922299 68231844598 102347766897 204695533794 307043300691 614086601382 921129902073 1842259804146