Search a number
-
+
10895430000 = 243547132307
BaseRepresentation
bin10100010010110101…
…10001000101110000
31001010022200012011110
422021122301011300
5134303212230000
65001050513320
7533666425020
oct121132610560
931108605143
1010895430000
114691205904
122140a35840
131048373a00
1475504da80
1543b7d5850
hex2896b1170

10895430000 has 600 divisors, whose sum is σ = 43668121728. Its totient is φ = 2291328000.

The previous prime is 10895429969. The next prime is 10895430001. The reversal of 10895430000 is 3459801.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10895430000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10895430001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35489847 + ... + 35490153.

Almost surely, 210895430000 is an apocalyptic number.

10895430000 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 10895430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21834060864).

10895430000 is an abundant number, since it is smaller than the sum of its proper divisors (32772691728).

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

10895430000 is a wasteful number, since it uses less digits than its factorization.

10895430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10895430000 its reverse (3459801), we get a palindrome (10898889801).

The spelling of 10895430000 in words is "ten billion, eight hundred ninety-five million, four hundred thirty thousand".