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65434243456 = 274316277307
BaseRepresentation
bin111100111100001011…
…110101000110000000
320020220020001222100101
4330330023311012000
52033002131242311
650020550532144
74504343615041
oct747413650600
9206806058311
1065434243456
1125828a1965a
1210821967054
13622a55996a
14324a4b08c8
151a7e883ec1
hexf3c2f5180

65434243456 has 64 divisors (see below), whose sum is σ = 133489097280. Its totient is φ = 31932246528.

The previous prime is 65434243453. The next prime is 65434243471.

It is a happy number.

65434243456 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65434243453) 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 7 ways as a sum of consecutive naturals, for example, 8951355 + ... + 8958661.

It is an arithmetic number, because the mean of its divisors is an integer number (2085767145).

Almost surely, 265434243456 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 65434243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66744548640).

65434243456 is an abundant number, since it is smaller than the sum of its proper divisors (68054853824).

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

65434243456 is a wasteful number, since it uses less digits than its factorization.

65434243456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8979 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 46.

The spelling of 65434243456 in words is "sixty-five billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 1627 2752 3254 5504 6508 7307 13016 14614 26032 29228 52064 58456 69961 104128 116912 139922 208256 233824 279844 314201 467648 559688 628402 935296 1119376 1256804 2238752 2513608 4477504 5027216 8955008 10054432 11888489 20108864 23776978 40217728 47553956 95107912 190215824 380431648 511205027 760863296 1022410054 1521726592 2044820108 4089640216 8179280432 16358560864 32717121728 65434243456