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77141377146 = 2353673620641
BaseRepresentation
bin100011111010111111…
…1000000000001111010
321101010010002222122110
41013311333000001322
52230441143032041
655234355233150
75400430613121
oct1076577000172
9241103088573
1077141377146
112a796329459
1212b4a5a87b6
137374b206c2
143a3b254ab8
152017554516
hex11f5fc007a

77141377146 has 32 divisors (see below), whose sum is σ = 159539969088. Its totient is φ = 24852072960.

The previous prime is 77141377141. The next prime is 77141377153. The reversal of 77141377146 is 64177314177.

It is a super-2 number, since 2×771413771462 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77141377095 and 77141377104.

It is not an unprimeable number, because it can be changed into a prime (77141377141) 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 15 ways as a sum of consecutive naturals, for example, 1789015 + ... + 1831626.

It is an arithmetic number, because the mean of its divisors is an integer number (4985624034).

Almost surely, 277141377146 is an apocalyptic number.

77141377146 is an abundant number, since it is smaller than the sum of its proper divisors (82398591942).

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

77141377146 is a wasteful number, since it uses less digits than its factorization.

77141377146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620766.

The product of its digits is 691488, while the sum is 48.

The spelling of 77141377146 in words is "seventy-seven billion, one hundred forty-one million, three hundred seventy-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 53 67 106 134 159 201 318 402 3551 7102 10653 21306 3620641 7241282 10861923 21723846 191893973 242582947 383787946 485165894 575681919 727748841 1151363838 1455497682 12856896191 25713792382 38570688573 77141377146