Search a number
-
+
160210132992 = 2133271323879
BaseRepresentation
bin1001010100110101000…
…1001010000000000000
3120022112022122000021100
42111031101022000000
510111102243223432
6201333255054400
714401104442560
oct2251521120000
9508468560240
10160210132992
1161a43497198
1227072071400
1312152961180
147a7b7b2da0
15427a14907c
hex254d44a000

160210132992 has 336 divisors, whose sum is σ = 569625114240. Its totient is φ = 42251452416.

The previous prime is 160210132969. The next prime is 160210133023. The reversal of 160210132992 is 299231012061.

160210132992 is a `hidden beast` number, since 1 + 602 + 10 + 1 + 32 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6697309 + ... + 6721187.

It is an arithmetic number, because the mean of its divisors is an integer number (1695312840).

Almost surely, 2160210132992 is an apocalyptic number.

160210132992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160210132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284812557120).

160210132992 is an abundant number, since it is smaller than the sum of its proper divisors (409414981248).

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

160210132992 is a wasteful number, since it uses less digits than its factorization.

160210132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23931 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 160210132992 in words is "one hundred sixty billion, two hundred ten million, one hundred thirty-two thousand, nine hundred ninety-two".