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1056055511 = 71923345229
BaseRepresentation
bin111110111100100…
…010000011010111
32201121011011211002
4332330202003113
54130322234021
6252442533515
735112216020
oct7674420327
92647134732
101056055511
114a2130155
1225580729b
1313aa35924
14a037dc47
1562aa550b
hex3ef220d7

1056055511 has 16 divisors (see below), whose sum is σ = 1325683200. Its totient is φ = 820261728.

The previous prime is 1056055501. The next prime is 1056055513. The reversal of 1056055511 is 1155506501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1056055511 - 210 = 1056054487 is a prime.

It is a super-3 number, since 3×10560555113 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056055513) 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, 169556 + ... + 175673.

It is an arithmetic number, because the mean of its divisors is an integer number (82855200).

Almost surely, 21056055511 is an apocalyptic number.

1056055511 is a deficient number, since it is larger than the sum of its proper divisors (269627689).

1056055511 is a wasteful number, since it uses less digits than its factorization.

1056055511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345278.

The product of its (nonzero) digits is 3750, while the sum is 29.

The square root of 1056055511 is about 32497.0077237890. The cubic root of 1056055511 is about 1018.3465171934.

The spelling of 1056055511 in words is "one billion, fifty-six million, fifty-five thousand, five hundred eleven".

Divisors: 1 7 19 23 133 161 437 3059 345229 2416603 6559351 7940267 45915457 55581869 150865073 1056055511