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23209773696 = 273829953
BaseRepresentation
bin10101100111011010…
…010000101010000000
32012220112021200000000
4111213122100222000
5340013200224241
614355030000000
71451105551464
oct254732205200
965815250000
1023209773696
11993034855a
1245b8aa6000
13225b689005
1411a26d64a4
1590c949eb6
hex567690a80

23209773696 has 288 divisors, whose sum is σ = 71820602100. Its totient is φ = 7461974016.

The previous prime is 23209773679. The next prime is 23209773721. The reversal of 23209773696 is 69637790232.

23209773696 is a `hidden beast` number, since 2 + 3 + 209 + 77 + 369 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23189198400 + 20575296 = 152280^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24353956 + ... + 24354908.

Almost surely, 223209773696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23209773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35910301050).

23209773696 is an abundant number, since it is smaller than the sum of its proper divisors (48610828404).

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

23209773696 is an frugal number, since it uses more digits than its factorization.

23209773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 23209773696 in words is "twenty-three billion, two hundred nine million, seven hundred seventy-three thousand, six hundred ninety-six".