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11079839232 = 293372111487
BaseRepresentation
bin10100101000110100…
…01110111000000000
31001121011200011002000
422110122032320000
5140142414323412
65031235224000
7541366036200
oct122432167000
931534604060
1011079839232
11477630a230
122192748000
13107762c7b7
14771734400
1544cab04dc
hex29468ee00

11079839232 has 480 divisors, whose sum is σ = 41648048640. Its totient is φ = 2875944960.

The previous prime is 11079839219. The next prime is 11079839293. The reversal of 11079839232 is 23293897011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450393 + ... + 7451879.

It is an arithmetic number, because the mean of its divisors is an integer number (86766768).

Almost surely, 211079839232 is an apocalyptic number.

11079839232 is a gapful number since it is divisible by the number (12) 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 11079839232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824024320).

11079839232 is an abundant number, since it is smaller than the sum of its proper divisors (30568209408).

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

11079839232 is a wasteful number, since it uses less digits than its factorization.

11079839232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11079839232 in words is "eleven billion, seventy-nine million, eight hundred thirty-nine thousand, two hundred thirty-two".