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23091672240 = 24335713294051
BaseRepresentation
bin10101100000010111…
…101111010010110000
32012121022001111021000
4111200113233102300
5334242432002430
614335210402000
71445142655410
oct254027572260
965538044230
1023091672240
11987a71314a
124585430300
1322400782b0
141190b52640
159023bbe60
hex5605ef4b0

23091672240 has 640 divisors, whose sum is σ = 101293516800. Its totient is φ = 4702924800.

The previous prime is 23091672209. The next prime is 23091672259. The reversal of 23091672240 is 4227619032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23091672195 and 23091672204.

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 127 ways as a sum of consecutive naturals, for example, 5698215 + ... + 5702265.

It is an arithmetic number, because the mean of its divisors is an integer number (158271120).

Almost surely, 223091672240 is an apocalyptic number.

23091672240 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 23091672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50646758400).

23091672240 is an abundant number, since it is smaller than the sum of its proper divisors (78201844560).

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

23091672240 is a wasteful number, since it uses less digits than its factorization.

23091672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23091672240 in words is "twenty-three billion, ninety-one million, six hundred seventy-two thousand, two hundred forty".