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2327090113920 = 27351113172353409
BaseRepresentation
bin100001110111010001011…
…000010010110110000000
322020110121220121020210210
4201313101120102312000
5301111340032121140
64541014521154120
7330061314412365
oct41672130226600
98213556536723
102327090113920
11817a0577a690
1231700992b940
1313b59c935590
14808bb7b046c
15407edac1d80
hex21dd1612d80

2327090113920 has 2048 divisors, whose sum is σ = 9833815756800. Its totient is φ = 458835886080.

The previous prime is 2327090113919. The next prime is 2327090113951. The reversal of 2327090113920 is 293110907232.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5689706676 + ... + 5689707084.

It is an arithmetic number, because the mean of its divisors is an integer number (4801667850).

Almost surely, 22327090113920 is an apocalyptic number.

2327090113920 is a gapful number since it is divisible by the number (20) 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 2327090113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916907878400).

2327090113920 is an abundant number, since it is smaller than the sum of its proper divisors (7506725642880).

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

2327090113920 is a wasteful number, since it uses less digits than its factorization.

2327090113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 2327090113920 in words is "two trillion, three hundred twenty-seven billion, ninety million, one hundred thirteen thousand, nine hundred twenty".