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1055005065 = 32529261457
BaseRepresentation
bin111110111000100…
…001100110001001
32201112011210212200
4332320201212021
54130040130230
6252404230413
735100252342
oct7670414611
92645153780
101055005065
114a1582a14
1225539b409
1313a75876a
14a01890c9
1562949160
hex3ee21989

1055005065 has 72 divisors (see below), whose sum is σ = 1929167448. Its totient is φ = 533191680.

The previous prime is 1055005037. The next prime is 1055005073. The reversal of 1055005065 is 5605005501.

1055005065 is a `hidden beast` number, since 1 + 0 + 550 + 0 + 50 + 65 = 666.

1055005065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 275925321 + 779079744 = 16611^2 + 27912^2 .

It is not a de Polignac number, because 1055005065 - 215 = 1054972297 is a prime.

It is a super-2 number, since 2×10550050652 = 2226071374351308450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2308317 + ... + 2308773.

Almost surely, 21055005065 is an apocalyptic number.

1055005065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055005065 is a deficient number, since it is larger than the sum of its proper divisors (874162383).

1055005065 is a wasteful number, since it uses less digits than its factorization.

1055005065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 1055005065 is about 32480.8415069561. The cubic root of 1055005065 is about 1018.0087594117.

The spelling of 1055005065 in words is "one billion, fifty-five million, five thousand, sixty-five".

Divisors: 1 3 5 9 15 29 45 61 87 145 183 261 305 435 457 549 841 915 1305 1371 1769 2285 2523 2745 4113 4205 5307 6855 7569 8845 12615 13253 15921 20565 26535 27877 37845 39759 51301 66265 79605 83631 119277 139385 153903 198795 250893 256505 384337 418155 461709 596385 769515 808433 1153011 1254465 1921685 2308545 2425299 3459033 4042165 5765055 7275897 12126495 17295165 23444557 36379485 70333671 117222785 211001013 351668355 1055005065