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1983892016 = 24863143677
BaseRepresentation
bin111011000111111…
…1100101000110000
312010021001011020002
41312033330220300
513030334021031
6524505405132
7100106542511
oct16617745060
95107034202
101983892016
11928945487
124744997a8
13258027602
1414b6a4a08
15b927eccb
hex763fca30

1983892016 has 20 divisors (see below), whose sum is σ = 3848271552. Its totient is φ = 990789696.

The previous prime is 1983892013. The next prime is 1983892039. The reversal of 1983892016 is 6102983891.

It is a super-2 number, since 2×19838920162 = 7871655062297088512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1983892013) 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 3 ways as a sum of consecutive naturals, for example, 58031 + ... + 85646.

Almost surely, 21983892016 is an apocalyptic number.

1983892016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1983892016 is a deficient number, since it is larger than the sum of its proper divisors (1864379536).

1983892016 is a wasteful number, since it uses less digits than its factorization.

1983892016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144548 (or 144542 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 1983892016 is about 44540.9027299627. The cubic root of 1983892016 is about 1256.5294635773.

The spelling of 1983892016 in words is "one billion, nine hundred eighty-three million, eight hundred ninety-two thousand, sixteen".

Divisors: 1 2 4 8 16 863 1726 3452 6904 13808 143677 287354 574708 1149416 2298832 123993251 247986502 495973004 991946008 1983892016