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109328828000 = 2553725715193
BaseRepresentation
bin110010111010010000…
…0011000011001100000
3101110012022110220110212
41211310200120121200
53242401134444000
6122120332113252
710620161463530
oct1456440303140
9343168426425
10109328828000
1142403300707
1219232005828
13a404442202
145411dd14c0
152c9d21bc35
hex1974818660

109328828000 has 192 divisors, whose sum is σ = 308210168448. Its totient is φ = 37335859200.

The previous prime is 109328827991. The next prime is 109328828003. The reversal of 109328828000 is 828823901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109328828003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7188404 + ... + 7203596.

It is an arithmetic number, because the mean of its divisors is an integer number (1605261294).

Almost surely, 2109328828000 is an apocalyptic number.

109328828000 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 109328828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154105084224).

109328828000 is an abundant number, since it is smaller than the sum of its proper divisors (198881340448).

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

109328828000 is a wasteful number, since it uses less digits than its factorization.

109328828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15482 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 109328828000 in words is "one hundred nine billion, three hundred twenty-eight million, eight hundred twenty-eight thousand".