Search a number
-
+
23369506560 = 28335838147
BaseRepresentation
bin10101110000111011…
…100101111100000000
32020022122211221022000
4111300323211330000
5340330043202220
614422533344000
71455055346121
oct256073457400
966278757260
1023369506560
119a02528194
124642498000
1322857b4cba
1411b99d6048
1591b99d390
hex570ee5f00

23369506560 has 288 divisors, whose sum is σ = 83938740480. Its totient is φ = 6156029952.

The previous prime is 23369506549. The next prime is 23369506561. The reversal of 23369506560 is 6560596332.

23369506560 is a `hidden beast` number, since 2 + 3 + 36 + 9 + 50 + 6 + 560 = 666.

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

It is a super-2 number, since 2×233695065602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23369506561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2864407 + ... + 2872553.

It is an arithmetic number, because the mean of its divisors is an integer number (291453960).

Almost surely, 223369506560 is an apocalyptic number.

23369506560 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 23369506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41969370240).

23369506560 is an abundant number, since it is smaller than the sum of its proper divisors (60569233920).

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

23369506560 is an equidigital number, since it uses as much as digits as its factorization.

23369506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 23369506560 in words is "twenty-three billion, three hundred sixty-nine million, five hundred six thousand, five hundred sixty".