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23563133440 = 295711210867
BaseRepresentation
bin10101111100011110…
…001110001000000000
32020211011012012102221
4111330132032020000
5341224130232230
614454051420424
71462626221020
oct257436161000
966734165387
1023563133440
119aa1857a00
1246972b4714
1322b694a512
1411d75d9a80
1592d99927a
hex57c78e200

23563133440 has 240 divisors, whose sum is σ = 70977082176. Its totient is φ = 7343677440.

The previous prime is 23563133431. The next prime is 23563133459. The reversal of 23563133440 is 4433136532.

It is a super-2 number, since 2×235631334402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23563133396 and 23563133405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162887 + ... + 2173753.

Almost surely, 223563133440 is an apocalyptic number.

23563133440 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 23563133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35488541088).

23563133440 is an abundant number, since it is smaller than the sum of its proper divisors (47413948736).

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

23563133440 is a wasteful number, since it uses less digits than its factorization.

23563133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10919 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 23563133440 its reverse (4433136532), we get a palindrome (27996269972).

The spelling of 23563133440 in words is "twenty-three billion, five hundred sixty-three million, one hundred thirty-three thousand, four hundred forty".