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1661883008 = 27176711399
BaseRepresentation
bin110001100001110…
…0101001010000000
311021211010101220112
41203003211022000
511400420224013
6432523530452
756116525652
oct14303451200
94254111815
101661883008
117830a9335
123a4689a28
132063c1b36
1411aa026d2
159ad74ba8
hex630e5280

1661883008 has 64 divisors (see below), whose sum is σ = 3558168000. Its totient is φ = 770322432.

The previous prime is 1661883001. The next prime is 1661883017. The reversal of 1661883008 is 8003881661.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1661883001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140093 + ... + 151491.

It is an arithmetic number, because the mean of its divisors is an integer number (55596375).

Almost surely, 21661883008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779084000).

1661883008 is an abundant number, since it is smaller than the sum of its proper divisors (1896284992).

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

1661883008 is a wasteful number, since it uses less digits than its factorization.

1661883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11497 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 1661883008 is about 40766.1993322900. The cubic root of 1661883008 is about 1184.4956836137.

The spelling of 1661883008 in words is "one billion, six hundred sixty-one million, eight hundred eighty-three thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 268 272 536 544 1072 1088 1139 2144 2176 2278 4288 4556 8576 9112 11399 18224 22798 36448 45596 72896 91192 145792 182384 193783 364768 387566 729536 763733 775132 1459072 1527466 1550264 3054932 3100528 6109864 6201056 12219728 12402112 12983461 24439456 24804224 25966922 48878912 51933844 97757824 103867688 207735376 415470752 830941504 1661883008