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23638288050 = 23352133759617
BaseRepresentation
bin10110000000111100…
…111010011010110010
32021000101121110012000
4112000330322122302
5341402400204200
614505334314430
71464531063456
oct260074723262
967011543160
1023638288050
11a030219753
1246b84b8a16
1322c93a22c0
1412035a0666
15935392300
hex580f3a6b2

23638288050 has 384 divisors, whose sum is σ = 73382803200. Its totient is φ = 5556418560.

The previous prime is 23638288021. The next prime is 23638288073. The reversal of 23638288050 is 5088283632.

23638288050 is a `hidden beast` number, since 2 + 3 + 638 + 2 + 8 + 8 + 0 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 23638287987 and 23638288005.

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 191 ways as a sum of consecutive naturals, for example, 38311342 + ... + 38311958.

It is an arithmetic number, because the mean of its divisors is an integer number (191101050).

Almost surely, 223638288050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23638288050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691401600).

23638288050 is an abundant number, since it is smaller than the sum of its proper divisors (49744515150).

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

23638288050 is a wasteful number, since it uses less digits than its factorization.

23638288050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 23638288050 in words is "twenty-three billion, six hundred thirty-eight million, two hundred eighty-eight thousand, fifty".