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35134829645 = 517249312
BaseRepresentation
bin100000101110001100…
…101111010001001101
310100200121101021102212
4200232030233101031
51033424004022040
624050221200205
72352450060446
oct405614572115
9110617337385
1035134829645
111399a7715a3
126986700065
13340c140836
1419b43a62cd
15da9814d65
hex82e32f44d

35134829645 has 18 divisors (see below), whose sum is σ = 44796874506. Its totient is φ = 26449095040.

The previous prime is 35134829617. The next prime is 35134829657. The reversal of 35134829645 is 54692843153.

It can be written as a sum of positive squares in 3 ways, for example, as 11768344324 + 23366485321 = 108482^2 + 152861^2 .

It is not a de Polignac number, because 35134829645 - 210 = 35134828621 is a prime.

It is a super-3 number, since 3×351348296453 (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 = 35134829593 and 35134829602.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7122830 + ... + 7127760.

Almost surely, 235134829645 is an apocalyptic number.

It is an amenable number.

35134829645 is a deficient number, since it is larger than the sum of its proper divisors (9662044861).

35134829645 is an frugal number, since it uses more digits than its factorization.

35134829645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901 (or 4953 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The spelling of 35134829645 in words is "thirty-five billion, one hundred thirty-four million, eight hundred twenty-nine thousand, six hundred forty-five".

Divisors: 1 5 17 85 289 1445 4931 24655 83827 419135 1425059 7125295 24314761 121573805 413350937 2066754685 7026965929 35134829645