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35093422592 = 291724872
BaseRepresentation
bin100000101011101110…
…110010001000000000
310100120201110120122022
4200223232302020000
51033332404010332
624042141501012
72351435112254
oct405356621000
9110521416568
1035093422592
111397935a898
126974871768
1334036a3717
1419acaa8264
15da5d86212
hex82bbb2200

35093422592 has 90 divisors (see below), whose sum is σ = 74638795077. Its totient is φ = 16480641024.

The previous prime is 35093422589. The next prime is 35093422603. The reversal of 35093422592 is 29522439053.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 32118374656 + 2975047936 = 179216^2 + 54544^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=132464.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72060173 + ... + 72060659.

Almost surely, 235093422592 is an apocalyptic number.

35093422592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35093422592

35093422592 is an abundant number, since it is smaller than the sum of its proper divisors (39545372485).

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

35093422592 is an frugal number, since it uses more digits than its factorization.

35093422592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 35093422592 in words is "thirty-five billion, ninety-three million, four hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 487 512 544 578 974 1088 1156 1948 2176 2312 3896 4352 4624 7792 8279 8704 9248 15584 16558 18496 31168 33116 36992 62336 66232 73984 124672 132464 140743 147968 237169 249344 264928 281486 474338 529856 562972 948676 1059712 1125944 1897352 2119424 2251888 3794704 4031873 4238848 4503776 7589408 8063746 9007552 15178816 16127492 18015104 30357632 32254984 36030208 60715264 64509968 68541841 72060416 121430528 129019936 137083682 258039872 274167364 516079744 548334728 1032159488 1096669456 2064318976 2193338912 4386677824 8773355648 17546711296 35093422592