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1057607361 = 3413056881
BaseRepresentation
bin111111000010011…
…100111011000001
32201201002000120000
4333002130323001
54131221413421
6252540110213
735131341246
oct7702347301
92651060500
101057607361
114a2aa0078
12256235369
1313b15a095
14a06655cd
1562cb0226
hex3f09cec1

1057607361 has 10 divisors (see below), whose sum is σ = 1579882722. Its totient is φ = 705071520.

The previous prime is 1057607357. The next prime is 1057607387. The reversal of 1057607361 is 1637067501.

1057607361 is a `hidden beast` number, since 10 + 5 + 7 + 607 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 551357361 + 506250000 = 23481^2 + 22500^2 .

It is not a de Polignac number, because 1057607361 - 22 = 1057607357 is a prime.

It is a super-2 number, since 2×10576073612 = 2237066660082768642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057607311) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6528360 + ... + 6528521.

Almost surely, 21057607361 is an apocalyptic number.

It is an amenable number.

1057607361 is a deficient number, since it is larger than the sum of its proper divisors (522275361).

1057607361 is an equidigital number, since it uses as much as digits as its factorization.

1057607361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056893 (or 13056884 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1057607361 is about 32520.8757723404. The cubic root of 1057607361 is about 1018.8450855532.

The spelling of 1057607361 in words is "one billion, fifty-seven million, six hundred seven thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 13056881 39170643 117511929 352535787 1057607361