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35424610049 = 2331111313681
BaseRepresentation
bin100000111111011110…
…001010011100000001
310101102210122122102102
4200333132022130001
51040022200010144
624135052200145
72362566134333
oct407736123401
9111383578372
1035424610049
11140292a5934
126a47769055
1334571a0b2a
141a00a79453
15dc4ea5b4e
hex83f78a701

35424610049 has 8 divisors (see below), whose sum is σ = 35582449032. Its totient is φ = 35266821120.

The previous prime is 35424610037. The next prime is 35424610061. The reversal of 35424610049 is 94001642453.

It is an interprime number because it is at equal distance from previous prime (35424610037) and next prime (35424610061).

It can be written as a sum of positive squares in 4 ways, for example, as 677040400 + 34747569649 = 26020^2 + 186407^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35424610049 is a prime.

It is a super-3 number, since 3×354246100493 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35424609994 and 35424610021.

It is not an unprimeable number, because it can be changed into a prime (35424610019) 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, 2582489 + ... + 2596169.

It is an arithmetic number, because the mean of its divisors is an integer number (4447806129).

Almost surely, 235424610049 is an apocalyptic number.

It is an amenable number.

35424610049 is a deficient number, since it is larger than the sum of its proper divisors (157838983).

35424610049 is a wasteful number, since it uses less digits than its factorization.

35424610049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 35424610049 in words is "thirty-five billion, four hundred twenty-four million, six hundred ten thousand, forty-nine".

Divisors: 1 233 11113 13681 2589329 3187673 152036953 35424610049