Search a number
-
+
23536790816 = 2571119717397
BaseRepresentation
bin10101111010111001…
…101110110100100000
32020202022121212011012
4111322321232310200
5341200404301231
614451311040052
71462156264250
oct257271566440
966668555135
1023536790816
119a889a5340
12468a510028
1322b1356176
1411d3cdd960
1592b4e3e2b
hex57ae6ed20

23536790816 has 384 divisors, whose sum is σ = 63158538240. Its totient is φ = 8360755200.

The previous prime is 23536790803. The next prime is 23536790831. The reversal of 23536790816 is 61809763532.

It is a super-2 number, since 2×235367908162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242647280 + ... + 242647376.

It is an arithmetic number, because the mean of its divisors is an integer number (164475360).

Almost surely, 223536790816 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 23536790816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31579269120).

23536790816 is an abundant number, since it is smaller than the sum of its proper divisors (39621747424).

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

23536790816 is a wasteful number, since it uses less digits than its factorization.

23536790816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 23536790816 in words is "twenty-three billion, five hundred thirty-six million, seven hundred ninety thousand, eight hundred sixteen".