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35045714564 = 2272959972053
BaseRepresentation
bin100000101000111000…
…110010101010000100
310100110101200202112022
4200220320302222010
51033233200331224
624033315142312
72350315441640
oct405070625204
9110411622468
1035045714564
1113954435073
1269608a4998
1333c683b613
1419a6609c20
15da1ab065e
hex828e32a84

35045714564 has 48 divisors (see below), whose sum is σ = 72630432000. Its totient is φ = 14477264256.

The previous prime is 35045714563. The next prime is 35045714579. The reversal of 35045714564 is 46541754053.

It is not an unprimeable number, because it can be changed into a prime (35045714563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 450362 + ... + 522414.

It is an arithmetic number, because the mean of its divisors is an integer number (1513134000).

Almost surely, 235045714564 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 35045714564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315216000).

35045714564 is an abundant number, since it is smaller than the sum of its proper divisors (37584717436).

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

35045714564 is a wasteful number, since it uses less digits than its factorization.

35045714564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72692 (or 72690 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 35045714564 in words is "thirty-five billion, forty-five million, seven hundred fourteen thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 599 812 1198 2396 4193 8386 16772 17371 34742 69484 72053 121597 144106 243194 288212 486388 504371 1008742 2017484 2089537 4179074 8358148 14626759 29253518 43159747 58507036 86319494 172638988 302118229 604236458 1208472916 1251632663 2503265326 5006530652 8761428641 17522857282 35045714564