Search a number
-
+
10490695200 = 2532524393319
BaseRepresentation
bin10011100010100101…
…10100111000100000
31000002010002112101200
421301102310320200
5132441104221300
64452552001200
7520653303126
oct116122647040
930063075350
1010490695200
1144a37a6637
122049390200
13cb256526b
147173b5916
15415ed9200
hex2714b4e20

10490695200 has 216 divisors, whose sum is σ = 37088251200. Its totient is φ = 2790305280.

The previous prime is 10490695183. The next prime is 10490695231. The reversal of 10490695200 is 259609401.

It is a super-2 number, since 2×104906952002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3159141 + ... + 3162459.

Almost surely, 210490695200 is an apocalyptic number.

10490695200 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 10490695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544125600).

10490695200 is an abundant number, since it is smaller than the sum of its proper divisors (26597556000).

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

10490695200 is a wasteful number, since it uses less digits than its factorization.

10490695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10490695200 in words is "ten billion, four hundred ninety million, six hundred ninety-five thousand, two hundred".