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1054055511 = 3541472251
BaseRepresentation
bin111110110100111…
…001110001010111
32201110101120100000
4332310321301113
54124314234021
6252332022343
735056216065
oct7664716127
92643346300
101054055511
114a0a94563
122550019b3
1313a4b54b2
149ddbd035
156280cb26
hex3ed39c57

1054055511 has 48 divisors (see below), whose sum is σ = 1652571648. Its totient is φ = 670680000.

The previous prime is 1054055507. The next prime is 1054055549. The reversal of 1054055511 is 1155504501.

1054055511 is a `hidden beast` number, since 105 + 4 + 0 + 5 + 551 + 1 = 666.

It is not a de Polignac number, because 1054055511 - 22 = 1054055507 is a prime.

It is a super-2 number, since 2×10540555112 = 2222066040538942242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054055551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467136 + ... + 469386.

It is an arithmetic number, because the mean of its divisors is an integer number (34428576).

Almost surely, 21054055511 is an apocalyptic number.

1054055511 is a deficient number, since it is larger than the sum of its proper divisors (598516137).

1054055511 is an equidigital number, since it uses as much as digits as its factorization.

1054055511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 1054055511 is about 32466.2210766821. The cubic root of 1054055511 is about 1017.7032492051.

The spelling of 1054055511 in words is "one billion, fifty-four million, fifty-five thousand, five hundred eleven".

Divisors: 1 3 9 27 41 47 81 123 141 243 369 423 1107 1269 1927 2251 3321 3807 5781 6753 9963 11421 17343 20259 52029 60777 92291 105797 156087 182331 276873 317391 468261 546993 830619 952173 2491857 2856519 4337677 7475571 8569557 13013031 22426713 25708671 39039093 117117279 351351837 1054055511