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10928107008 = 293372131773
BaseRepresentation
bin10100010110101110…
…11010111000000000
31001012121011100121000
422023113122320000
5134340043411013
65004215132000
7534544243200
oct121327327000
931177140530
1010928107008
1146a86a45a5
12214b974000
131052075310
14759518400
1543e5dc973
hex28b5dae00

10928107008 has 960 divisors, whose sum is σ = 43495341120. Its totient is φ = 2675441664.

The previous prime is 10928107007. The next prime is 10928107097. The reversal of 10928107008 is 80070182901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928107007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149700060 + ... + 149700132.

It is an arithmetic number, because the mean of its divisors is an integer number (45307647).

Almost surely, 210928107008 is an apocalyptic number.

10928107008 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 10928107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747670560).

10928107008 is an abundant number, since it is smaller than the sum of its proper divisors (32567234112).

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

10928107008 is a wasteful number, since it uses less digits than its factorization.

10928107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 10928107008 its reverse (80070182901), we get a palindrome (90998289909).

The spelling of 10928107008 in words is "ten billion, nine hundred twenty-eight million, one hundred seven thousand, eight".