Search a number
-
+
1663002112 = 2914921799
BaseRepresentation
bin110001100011111…
…0110011000000000
311021220020021000211
41203013312120000
511401212031422
6433003523504
756132166442
oct14307663000
94256207024
101663002112
117837a3112
123a4b29594
132066c4325
1411ac14492
159aee6577
hex631f6600

1663002112 has 40 divisors (see below), whose sum is σ = 3345210000. Its totient is φ = 825882624.

The previous prime is 1663002073. The next prime is 1663002137. The reversal of 1663002112 is 2112003661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65389 + ... + 87187.

It is an arithmetic number, because the mean of its divisors is an integer number (83630250).

Almost surely, 21663002112 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 1663002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672605000).

1663002112 is an abundant number, since it is smaller than the sum of its proper divisors (1682207888).

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

1663002112 is an equidigital number, since it uses as much as digits as its factorization.

1663002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966 (or 21950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1663002112 is about 40779.9229033111. The cubic root of 1663002112 is about 1184.7615018487.

Adding to 1663002112 its reverse (2112003661), we get a palindrome (3775005773).

The spelling of 1663002112 in words is "one billion, six hundred sixty-three million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 19072 21799 38144 43598 76288 87196 174392 348784 697568 1395136 2790272 3248051 5580544 6496102 11161088 12992204 25984408 51968816 103937632 207875264 415750528 831501056 1663002112