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23200696080 = 2433537614759
BaseRepresentation
bin10101100110110111…
…101000011100010000
32012212220012110212000
4111212313220130100
5340003334233310
614354103234000
71450635443232
oct254667503420
965786173760
1023200696080
1199262083a1
1245b5a48900
13225982b243
1411a1412252
1590bc554c0
hex566de8710

23200696080 has 320 divisors, whose sum is σ = 83436326400. Its totient is φ = 5919713280.

The previous prime is 23200696049. The next prime is 23200696109. The reversal of 23200696080 is 8069600232.

23200696080 is a `hidden beast` number, since 23 + 20 + 0 + 6 + 9 + 608 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 4872741 + ... + 4877499.

It is an arithmetic number, because the mean of its divisors is an integer number (260738520).

Almost surely, 223200696080 is an apocalyptic number.

23200696080 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 23200696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41718163200).

23200696080 is an abundant number, since it is smaller than the sum of its proper divisors (60235630320).

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

23200696080 is a wasteful number, since it uses less digits than its factorization.

23200696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23200696080 in words is "twenty-three billion, two hundred million, six hundred ninety-six thousand, eighty".