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35298245000 = 235426572
BaseRepresentation
bin100000110111111100…
…000111100110001000
310101002222212122011102
4200313330013212020
51034242322320000
624114335520532
72356503063164
oct406774074610
9111088778142
1035298245000
1113a73a36a07
126a11389148
133436c58a05
1419cbd83ca4
15db8d443d5
hex837f07988

35298245000 has 60 divisors (see below), whose sum is σ = 82734926505. Its totient is φ = 14113984000.

The previous prime is 35298244997. The next prime is 35298245039. The reversal of 35298245000 is 54289253.

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 8 ways, for example, as 589809796 + 34708435204 = 24286^2 + 186302^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=132850.

It is a super-2 number, since 2×352982450002 (a number of 22 digits) contains 22 as substring.

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 14 ways as a sum of consecutive naturals, for example, 13283672 + ... + 13286328.

Almost surely, 235298245000 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 35298245000

35298245000 is an abundant number, since it is smaller than the sum of its proper divisors (47436681505).

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

35298245000 is an frugal number, since it uses more digits than its factorization.

35298245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 35298245000 in words is "thirty-five billion, two hundred ninety-eight million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 2657 5000 5314 10628 13285 21256 26570 53140 66425 106280 132850 265700 332125 531400 664250 1328500 1660625 2657000 3321250 6642500 7059649 13285000 14119298 28238596 35298245 56477192 70596490 141192980 176491225 282385960 352982450 705964900 882456125 1411929800 1764912250 3529824500 4412280625 7059649000 8824561250 17649122500 35298245000