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1057768543 = 131737277467
BaseRepresentation
bin111111000011000…
…100010001011111
32201201101012122201
4333003010101133
54131242043133
6252543352331
735132612206
oct7703042137
92651335581
101057768543
114a30a0187
122562b26a7
1313b1b5560
14a06a823d
1562ce2d7d
hex3f0c445f

1057768543 has 32 divisors (see below), whose sum is σ = 1245875904. Its totient is φ = 888993792.

The previous prime is 1057768493. The next prime is 1057768549. The reversal of 1057768543 is 3458677501.

It is a cyclic number.

It is not a de Polignac number, because 1057768543 - 225 = 1024214111 is a prime.

It is a super-2 number, since 2×10577685432 = 2237748581120685698, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057768493 and 1057768502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057768549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2264796 + ... + 2265262.

It is an arithmetic number, because the mean of its divisors is an integer number (38933622).

Almost surely, 21057768543 is an apocalyptic number.

1057768543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1057768543 is a deficient number, since it is larger than the sum of its proper divisors (188107361).

1057768543 is a wasteful number, since it uses less digits than its factorization.

1057768543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 705600, while the sum is 46.

The square root of 1057768543 is about 32523.3538092245. The cubic root of 1057768543 is about 1018.8968411016.

The spelling of 1057768543 in words is "one billion, fifty-seven million, seven hundred sixty-eight thousand, five hundred forty-three".

Divisors: 1 13 17 37 221 277 467 481 629 3601 4709 6071 7939 8177 10249 17279 61217 103207 129359 133237 174233 224627 293743 1681667 2199103 2265029 3818659 4786283 28588339 62221679 81366811 1057768543