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1057805353 = 1128742193
BaseRepresentation
bin111111000011001…
…101010000101001
32201201110002011001
4333003031100221
54131244232403
6252544235001
735133124423
oct7703152051
92651402131
101057805353
114a3115900
1225630ba61
1313b1c9237
14a06b7813
1562cedc1d
hex3f0cd429

1057805353 has 6 divisors (see below), whose sum is σ = 1162711802. Its totient is φ = 961641120.

The previous prime is 1057805293. The next prime is 1057805377. The reversal of 1057805353 is 3535087501.

1057805353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1054430784 + 3374569 = 32472^2 + 1837^2 .

It is not a de Polignac number, because 1057805353 - 217 = 1057674281 is a prime.

It is a super-2 number, since 2×10578053532 = 2237904329670909218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057800353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4370976 + ... + 4371217.

Almost surely, 21057805353 is an apocalyptic number.

It is an amenable number.

1057805353 is a deficient number, since it is larger than the sum of its proper divisors (104906449).

1057805353 is an equidigital number, since it uses as much as digits as its factorization.

1057805353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742215 (or 8742204 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 1057805353 is about 32523.9197053492. The cubic root of 1057805353 is about 1018.9086600570.

The spelling of 1057805353 in words is "one billion, fifty-seven million, eight hundred five thousand, three hundred fifty-three".

Divisors: 1 11 121 8742193 96164123 1057805353