Search a number
-
+
10826047008 = 2533723223349
BaseRepresentation
bin10100001010100100…
…00101111000100000
31000221111010011121000
422011102011320200
5134132432001013
64550131432000
7532164611160
oct120522057040
930844104530
1010826047008
114656026397
122121755600
131036b8cc9a
14749b4c5a0
1543567c973
hex285485e20

10826047008 has 384 divisors, whose sum is σ = 37933056000. Its totient is φ = 2936964096.

The previous prime is 10826047003. The next prime is 10826047021. The reversal of 10826047008 is 80074062801.

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

It is not an unprimeable number, because it can be changed into a prime (10826047003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31020018 + ... + 31020366.

It is an arithmetic number, because the mean of its divisors is an integer number (98784000).

Almost surely, 210826047008 is an apocalyptic number.

10826047008 is a gapful number since it is divisible by the number (18) 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 10826047008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966528000).

10826047008 is an abundant number, since it is smaller than the sum of its proper divisors (27107008992).

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

10826047008 is a wasteful number, since it uses less digits than its factorization.

10826047008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10826047008 in words is "ten billion, eight hundred twenty-six million, forty-seven thousand, eight".