Search a number
-
+
10035116608 = 2611219241283
BaseRepresentation
bin10010101100010001…
…11011101001000000
3221220100211202001111
421112020323221000
5131022442212413
64335435213104
7503452040506
oct112610735100
927810752044
1010035116608
11428a61a700
121b408a7194
13c3c06432a
146b2aa4676
153daee7d3d
hex25623ba40

10035116608 has 168 divisors, whose sum is σ = 23217692960. Its totient is φ = 4288204800.

The previous prime is 10035116603. The next prime is 10035116617. The reversal of 10035116608 is 80661153001.

It is a self number, because there is not a number n which added to its sum of digits gives 10035116608.

It is not an unprimeable number, because it can be changed into a prime (10035116603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35459635 + ... + 35459917.

Almost surely, 210035116608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10035116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608846480).

10035116608 is an abundant number, since it is smaller than the sum of its proper divisors (13182576352).

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

10035116608 is a wasteful number, since it uses less digits than its factorization.

10035116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 10035116608 its reverse (80661153001), we get a palindrome (90696269609).

The spelling of 10035116608 in words is "ten billion, thirty-five million, one hundred sixteen thousand, six hundred eight".