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1466006641 = 112393471607
BaseRepresentation
bin101011101100001…
…0111110001110001
310210011112212001021
41113120113301301
511000244203031
6401245335441
751220564561
oct12730276161
93704485037
101466006641
11692582540
1234ab67581
131a494c768
14dc9b4da1
1588a82511
hex57617c71

1466006641 has 16 divisors (see below), whose sum is σ = 1611601920. Its totient is φ = 1322508880.

The previous prime is 1466006639. The next prime is 1466006741.

1466006641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1466006641 - 21 = 1466006639 is a prime.

It is a super-2 number, since 2×14660066412 = 4298350942912205762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1466006597 and 1466006606.

It is not an unprimeable number, because it can be changed into a prime (1466006041) 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, 911460 + ... + 913066.

It is an arithmetic number, because the mean of its divisors is an integer number (100725120).

Almost surely, 21466006641 is an apocalyptic number.

1466006641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1466006641 is a deficient number, since it is larger than the sum of its proper divisors (145595279).

1466006641 is a wasteful number, since it uses less digits than its factorization.

1466006641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1466006641 is about 38288.4661614957. The cubic root of 1466006641 is about 1136.0008226805. Note that the first 3 decimals are identical.

The spelling of 1466006641 in words is "one billion, four hundred sixty-six million, six thousand, six hundred forty-one".

Divisors: 1 11 239 347 1607 2629 3817 17677 82933 384073 557629 912263 4224803 6133919 133273331 1466006641