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6406311145 = 513227434179
BaseRepresentation
bin1011111011101100…
…01000110011101001
3121112110121022210011
411331312020303221
5101110003424040
62535405251521
7314516513653
oct57566106351
917473538704
106406311145
112798217423
1212a9563ba1
137b1309b70
1444ab776d3
152776463ea
hex17dd88ce9

6406311145 has 16 divisors (see below), whose sum is σ = 8315415360. Its totient is φ = 4709962944.

The previous prime is 6406311139. The next prime is 6406311167. The reversal of 6406311145 is 5411136046.

It is a cyclic number.

It is not a de Polignac number, because 6406311145 - 25 = 6406311113 is a prime.

It is a super-2 number, since 2×64063111452 = 82081644973102422050, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 202335 + ... + 231844.

It is an arithmetic number, because the mean of its divisors is an integer number (519713460).

Almost surely, 26406311145 is an apocalyptic number.

6406311145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6406311145 is a deficient number, since it is larger than the sum of its proper divisors (1909104215).

6406311145 is a wasteful number, since it uses less digits than its factorization.

6406311145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434424.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 6406311145 is about 80039.4349367860. The cubic root of 6406311145 is about 1857.2456192038.

The spelling of 6406311145 in words is "six billion, four hundred six million, three hundred eleven thousand, one hundred forty-five".

Divisors: 1 5 13 65 227 1135 2951 14755 434179 2170895 5644327 28221635 98558633 492793165 1281262229 6406311145