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1985445105 = 357174110861
BaseRepresentation
bin111011001010111…
…0111110011110001
312010100222001122220
41312111313303301
513031233220410
6525002551253
7100126001460
oct16625676361
95110861586
101985445105
11929806326
12474b08529
1325844c4b7
1414b98a9d7
15b948a070
hex76577cf1

1985445105 has 32 divisors (see below), whose sum is σ = 3632947968. Its totient is φ = 907027200.

The previous prime is 1985445097. The next prime is 1985445107. The reversal of 1985445105 is 5015445891.

It is not a de Polignac number, because 1985445105 - 23 = 1985445097 is a prime.

It is a super-2 number, since 2×19854451052 = 7883984529936922050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1985445107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177375 + ... + 188235.

It is an arithmetic number, because the mean of its divisors is an integer number (113529624).

Almost surely, 21985445105 is an apocalyptic number.

1985445105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1985445105 is a deficient number, since it is larger than the sum of its proper divisors (1647502863).

1985445105 is a wasteful number, since it uses less digits than its factorization.

1985445105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617.

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 1985445105 is about 44558.3337323110. Note that the first 3 decimals coincide. The cubic root of 1985445105 is about 1256.8572692323.

The spelling of 1985445105 in words is "one billion, nine hundred eighty-five million, four hundred forty-five thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 1741 5223 8705 10861 12187 26115 32583 36561 54305 60935 76027 162915 182805 228081 380135 1140405 18909001 56727003 94545005 132363007 283635015 397089021 661815035 1985445105