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35068251712 = 2613217269709
BaseRepresentation
bin100000101010001110…
…110000111001000000
310100111222002202200111
4200222032300321000
51033304433023322
624035442201104
72351011135624
oct405216607100
9110458082614
1035068251712
111396612860a
126968353194
1333cb3cc800
1419a95d5184
15da3a63177
hex82a3b0e40

35068251712 has 168 divisors, whose sum is σ = 80195394600. Its totient is φ = 15155232768.

The previous prime is 35068251697. The next prime is 35068251739. The reversal of 35068251712 is 21715286053.

It can be written as a sum of positive squares in 12 ways, for example, as 27974569536 + 7093682176 = 167256^2 + 84224^2 .

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 23 ways as a sum of consecutive naturals, for example, 49461214 + ... + 49461922.

Almost surely, 235068251712 is an apocalyptic number.

35068251712 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 35068251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40097697300).

35068251712 is an abundant number, since it is smaller than the sum of its proper divisors (45127142888).

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

35068251712 is a wasteful number, since it uses less digits than its factorization.

35068251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 35068251712 in words is "thirty-five billion, sixty-eight million, two hundred fifty-one thousand, seven hundred twelve".