Search a number
-
+
9966190592 = 21919009
BaseRepresentation
bin10010100100000100…
…00000000000000000
3221201120010221100002
421102002000000000
5130402321044332
64324534015132
7501654136151
oct112202000000
927646127302
109966190592
114254722556
121b217a74a8
13c2a9b05c7
146a7881928
153d4e30562
hex252080000

9966190592 has 40 divisors (see below), whose sum is σ = 19933410750. Its totient is φ = 4982833152.

The previous prime is 9966190573. The next prime is 9966190609. The reversal of 9966190592 is 2950916699.

It can be written as a sum of positive squares in only one way, i.e., 6964903936 + 3001286656 = 83456^2 + 54784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514784 + ... + 533792.

Almost surely, 29966190592 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 9966190592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966705375).

9966190592 is an abundant number, since it is smaller than the sum of its proper divisors (9967220158).

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

9966190592 is an frugal number, since it uses more digits than its factorization.

9966190592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19047 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 56.

The square root of 9966190592 is about 99830.8098334377. The cubic root of 9966190592 is about 2152.0039431850.

The spelling of 9966190592 in words is "nine billion, nine hundred sixty-six million, one hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 19009 32768 38018 65536 76036 131072 152072 262144 304144 524288 608288 1216576 2433152 4866304 9732608 19465216 38930432 77860864 155721728 311443456 622886912 1245773824 2491547648 4983095296 9966190592