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23020145280 = 2732511421863
BaseRepresentation
bin10101011100000110…
…111000101010000000
32012102022110112201100
4111130012320222000
5334121124122110
614324133334400
71443314002116
oct253406705200
965368415640
1023020145280
1198432a9960
124565497400
13222b2c3752
141185453ab6
158eae8dbc0
hex55c1b8a80

23020145280 has 384 divisors, whose sum is σ = 87024637440. Its totient is φ = 5560934400.

The previous prime is 23020145279. The next prime is 23020145303. The reversal of 23020145280 is 8254102032.

23020145280 is a `hidden beast` number, since 2 + 3 + 0 + 201 + 452 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26674129 + ... + 26674991.

It is an arithmetic number, because the mean of its divisors is an integer number (226626660).

Almost surely, 223020145280 is an apocalyptic number.

23020145280 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 23020145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43512318720).

23020145280 is an abundant number, since it is smaller than the sum of its proper divisors (64004492160).

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

23020145280 is a wasteful number, since it uses less digits than its factorization.

23020145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 23020145280 in words is "twenty-three billion, twenty million, one hundred forty-five thousand, two hundred eighty".