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10057074521 = 132129363373
BaseRepresentation
bin10010101110111001…
…01100011101011001
3221221220011022122112
421113130230131121
5131044102341041
64341542002105
7504136502654
oct112734543531
927856138575
1010057074521
1142a0a57a3a
121b48116335
13c43781990
146b597c89b
153dcdd3deb
hex25772c759

10057074521 has 8 divisors (see below), whose sum is σ = 10835812680. Its totient is φ = 9279067392.

The previous prime is 10057074481. The next prime is 10057074563. The reversal of 10057074521 is 12547075001.

It can be written as a sum of positive squares in 4 ways, for example, as 387105625 + 9669968896 = 19675^2 + 98336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10057074521 - 210 = 10057073497 is a prime.

It is a super-2 number, since 2×100570745212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10057074121) 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 7 ways as a sum of consecutive naturals, for example, 154010 + ... + 209363.

It is an arithmetic number, because the mean of its divisors is an integer number (1354476585).

Almost surely, 210057074521 is an apocalyptic number.

It is an amenable number.

10057074521 is a deficient number, since it is larger than the sum of its proper divisors (778738159).

10057074521 is a wasteful number, since it uses less digits than its factorization.

10057074521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365515.

The product of its (nonzero) digits is 9800, while the sum is 32.

The spelling of 10057074521 in words is "ten billion, fifty-seven million, seventy-four thousand, five hundred twenty-one".

Divisors: 1 13 2129 27677 363373 4723849 773621117 10057074521