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1998182016 = 27321734533
BaseRepresentation
bin111011100011001…
…1101011010000000
312011020221011102100
41313012131122000
513043013311031
6530135550400
7100342160355
oct16706353200
95136834370
101998182016
11935a157a6
1247922b400
1325ac8ba2c
1414d54462c
15ba653de6
hex7719d680

1998182016 has 48 divisors (see below), whose sum is σ = 5749980210. Its totient is φ = 666060288.

The previous prime is 1998182009. The next prime is 1998182033. The reversal of 1998182016 is 6102818991.

It can be written as a sum of positive squares in only one way, i.e., 1332542016 + 665640000 = 36504^2 + 25800^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 866115 + ... + 868418.

Almost surely, 21998182016 is an apocalyptic number.

1998182016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1998182016 is an abundant number, since it is smaller than the sum of its proper divisors (3751798194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1998182016 is a wasteful number, since it uses less digits than its factorization.

1998182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734553 (or 1734538 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1998182016 is about 44701.0292498954. The cubic root of 1998182016 is about 1259.5391814480.

The spelling of 1998182016 in words is "one billion, nine hundred ninety-eight million, one hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1734533 3469066 5203599 6938132 10407198 13876264 15610797 20814396 27752528 31221594 41628792 55505056 62443188 83257584 111010112 124886376 166515168 222020224 249772752 333030336 499545504 666060672 999091008 1998182016