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1057073853 = 311296910789
BaseRepresentation
bin111111000000011…
…010101010111101
32201200001220201110
4333000122222331
54131102330403
6252520432233
735123656653
oct7700325275
92650056643
101057073853
114a2766260
12256018679
1313b0012b4
14a0566dd3
1562c07103
hex3f01aabd

1057073853 has 16 divisors (see below), whose sum is σ = 1538222400. Its totient is φ = 640375680.

The previous prime is 1057073837. The next prime is 1057073863. The reversal of 1057073853 is 3583707501.

It is not a de Polignac number, because 1057073853 - 24 = 1057073837 is a prime.

It is a super-2 number, since 2×10570738532 = 2234810261392531218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057073863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92583 + ... + 103371.

It is an arithmetic number, because the mean of its divisors is an integer number (96138900).

Almost surely, 21057073853 is an apocalyptic number.

It is an amenable number.

1057073853 is a deficient number, since it is larger than the sum of its proper divisors (481148547).

1057073853 is a wasteful number, since it uses less digits than its factorization.

1057073853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13772.

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 1057073853 is about 32512.6721910088. The cubic root of 1057073853 is about 1018.6737385899.

The spelling of 1057073853 in words is "one billion, fifty-seven million, seventy-three thousand, eight hundred fifty-three".

Divisors: 1 3 11 33 2969 8907 10789 32367 32659 97977 118679 356037 32032541 96097623 352357951 1057073853