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23089432320 = 28355193907
BaseRepresentation
bin10101100000001111…
…001100011100000000
32012121010211200200000
4111200033030130000
5334241343313240
614335050400000
71445114636133
oct254017143400
965533750600
1023089432320
119879423279
124584730000
13223c7728b6
14119072c21a
159020c8430
hex5603cc700

23089432320 has 432 divisors, whose sum is σ = 87228435840. Its totient is φ = 5831626752.

The previous prime is 23089432319. The next prime is 23089432321. The reversal of 23089432320 is 2323498032.

23089432320 is a `hidden beast` number, since 2 + 308 + 9 + 4 + 323 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (23089432319) and next prime (23089432321).

It is a tau number, because it is divible by the number of its divisors (432).

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 (23089432321) by changing a digit.

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, 5907807 + ... + 5911713.

Almost surely, 223089432320 is an apocalyptic number.

23089432320 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 23089432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43614217920).

23089432320 is an abundant number, since it is smaller than the sum of its proper divisors (64139003520).

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

23089432320 is an equidigital number, since it uses as much as digits as its factorization.

23089432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23089432320 in words is "twenty-three billion, eighty-nine million, four hundred thirty-two thousand, three hundred twenty".