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1918160431 = 1110711171459
BaseRepresentation
bin111001001010100…
…1100111000101111
311221200100122102221
41302111030320233
512412022113211
6514200500211
765351044315
oct16225147057
94850318387
101918160431
118a482a360
1245647a667
13247521895
14142a740b5
15b35e8c71
hex7254ce2f

1918160431 has 16 divisors (see below), whose sum is σ = 2115434880. Its totient is φ = 1724755680.

The previous prime is 1918160411. The next prime is 1918160443. The reversal of 1918160431 is 1340618191.

It is a cyclic number.

It is not a de Polignac number, because 1918160431 - 211 = 1918158383 is a prime.

It is a super-2 number, since 2×19181604312 = 7358678878108211522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918160411) 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, 1313980 + ... + 1315438.

It is an arithmetic number, because the mean of its divisors is an integer number (132214680).

Almost surely, 21918160431 is an apocalyptic number.

1918160431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1918160431 is a deficient number, since it is larger than the sum of its proper divisors (197274449).

1918160431 is a wasteful number, since it uses less digits than its factorization.

1918160431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 1918160431 is about 43796.8084567814. The cubic root of 1918160431 is about 1242.4959332793.

The spelling of 1918160431 in words is "one billion, nine hundred eighteen million, one hundred sixty thousand, four hundred thirty-one".

Divisors: 1 11 107 1117 1177 1459 12287 16049 119519 156113 1314709 1629703 1717243 17926733 174378221 1918160431