Search a number
-
+
160128025600 = 21052412612
BaseRepresentation
bin1001010100100001011…
…1111100010000000000
3120022022121010112002211
42111020113330100000
510110420233304400
6201321203151504
714366056521454
oct2251027742000
9508277115084
10160128025600
1161a01106744
122704a675594
131213b94380a
147a7091c664
154272d2adba
hex25485fc400

160128025600 has 297 divisors, whose sum is σ = 413619642813. Its totient is φ = 61464576000.

The previous prime is 160128025583. The next prime is 160128025601. The reversal of 160128025600 is 6520821061.

The square root of 160128025600 is 400160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 119948624896 + 40179400704 = 346336^2 + 200448^2 .

It is a super-3 number, since 3×1601280256003 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160128025601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2625049570 + ... + 2625049630.

Almost surely, 2160128025600 is an apocalyptic number.

160128025600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160128025600 is the 400160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160128025600

160128025600 is an abundant number, since it is smaller than the sum of its proper divisors (253491617213).

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

160128025600 is an frugal number, since it uses more digits than its factorization.

160128025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 160128025600 its reverse (6520821061), we get a palindrome (166648846661).

The spelling of 160128025600 in words is "one hundred sixty billion, one hundred twenty-eight million, twenty-five thousand, six hundred".