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34525265300000 = 2555536514201
BaseRepresentation
bin1111101100110100010100…
…01011001000101000100000
311112020120202002201101122122
413312122022023020220200
514011130220404100000
6201232404331323412
710162240154650526
oct766321213105040
9145216662641578
1034525265300000
11100010a020aa42
123a572895b0568
13163594585a6b7
148750631d6316
153ed1349e2085
hex1f668a2c8a20

34525265300000 has 144 divisors (see below), whose sum is σ = 86562097186824. Its totient is φ = 13549536000000.

The previous prime is 34525265299961. The next prime is 34525265300003. The reversal of 34525265300000 is 356252543.

It can be written as a sum of positive squares in 12 ways, for example, as 14667582509584 + 19857682790416 = 3829828^2 + 4456196^2 .

It is not an unprimeable number, because it can be changed into a prime (34525265300003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2042900 + ... + 8557100.

Almost surely, 234525265300000 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 34525265300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43281048593412).

34525265300000 is an abundant number, since it is smaller than the sum of its proper divisors (52036831886824).

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

34525265300000 is an frugal number, since it uses more digits than its factorization.

34525265300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514289 (or 6514261 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 34525265300000 in words is "thirty-four trillion, five hundred twenty-five billion, two hundred sixty-five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 3125 4000 4240 5000 5300 6250 6625 8480 10000 10600 12500 13250 20000 21200 25000 26500 33125 42400 50000 53000 66250 100000 106000 132500 165625 212000 265000 331250 530000 662500 1060000 1325000 2650000 5300000 6514201 13028402 26056804 32571005 52113608 65142010 104227216 130284020 162855025 208454432 260568040 325710050 345252653 521136080 651420100 690505306 814275125 1042272160 1302840200 1381010612 1628550250 1726263265 2605680400 2762021224 3257100500 3452526530 4071375625 5211360800 5524042448 6514201000 6905053060 8142751250 8631316325 11048084896 13028402000 13810106120 16285502500 17262632650 20356878125 26056804000 27620212240 32571005000 34525265300 40713756250 43156581625 55240424480 65142010000 69050530600 81427512500 86313163250 130284020000 138101061200 162855025000 172626326500 215782908125 276202122400 325710050000 345252653000 431565816250 651420100000 690505306000 863131632500 1078914540625 1381010612000 1726263265000 2157829081250 3452526530000 4315658162500 6905053060000 8631316325000 17262632650000 34525265300000