Search a number
-
+
160631342880 = 2535718215741
BaseRepresentation
bin1001010110011001011…
…1111100011100100000
3120100121200012200121120
42111212113330130200
510112433110433010
6201443143052240
714414410613001
oct2254627743440
9510550180546
10160631342880
116213a229438
122716b141080
13121bbcba7a8
147abb6d91a8
1542a20ebe70
hex25665fc720

160631342880 has 192 divisors, whose sum is σ = 513829806336. Its totient is φ = 42172928000.

The previous prime is 160631342869. The next prime is 160631342887. The reversal of 160631342880 is 88243136061.

160631342880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (160631342887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27976810 + ... + 27982550.

It is an arithmetic number, because the mean of its divisors is an integer number (2676196908).

Almost surely, 2160631342880 is an apocalyptic number.

160631342880 is a gapful number since it is divisible by the number (10) 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 160631342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256914903168).

160631342880 is an abundant number, since it is smaller than the sum of its proper divisors (353198463456).

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

160631342880 is a wasteful number, since it uses less digits than its factorization.

160631342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 160631342880 in words is "one hundred sixty billion, six hundred thirty-one million, three hundred forty-two thousand, eight hundred eighty".