Search a number
-
+
119990122560 = 263257111992719
BaseRepresentation
bin110111110111111110…
…1111111100001000000
3102110201022120210012100
41233233331333201000
53431214432410220
6131042300430400
711445316133130
oct1575775774100
9373638523170
10119990122560
1146984329050
121b308548400
13b413139529
145b43cd4ac0
1531c41a3d90
hex1beff7f840

119990122560 has 672 divisors, whose sum is σ = 517330944000. Its totient is φ = 24798597120.

The previous prime is 119990122559. The next prime is 119990122589. The reversal of 119990122560 is 65221099911.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44128881 + ... + 44131599.

Almost surely, 2119990122560 is an apocalyptic number.

119990122560 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 119990122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258665472000).

119990122560 is an abundant number, since it is smaller than the sum of its proper divisors (397340821440).

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

119990122560 is a wasteful number, since it uses less digits than its factorization.

119990122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 119990122560 in words is "one hundred nineteen billion, nine hundred ninety million, one hundred twenty-two thousand, five hundred sixty".