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23024322432 = 2732148313477
BaseRepresentation
bin10101011100010110…
…110100011110000000
32012102121022202200200
4111130112310132000
5334123211304212
614324403045200
71443364340316
oct253426643600
965377282620
1023024322432
1198456a2251
124566970800
13222c126b37
141185c200b6
158eb5166dc
hex55c5b4780

23024322432 has 96 divisors (see below), whose sum is σ = 66304481880. Its totient is φ = 7669029888.

The previous prime is 23024322407. The next prime is 23024322457. The reversal of 23024322432 is 23422342032.

It is a happy number.

23024322432 is a `hidden beast` number, since 2 + 302 + 4 + 322 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (23024322407) and next prime (23024322457).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23024322396 and 23024322405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701678 + ... + 1715154.

Almost surely, 223024322432 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 23024322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33152240940).

23024322432 is an abundant number, since it is smaller than the sum of its proper divisors (43280159448).

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

23024322432 is a wasteful number, since it uses less digits than its factorization.

23024322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14980 (or 14965 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 23024322432 its reverse (23422342032), we get a palindrome (46446664464).

The spelling of 23024322432 in words is "twenty-three billion, twenty-four million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1483 2966 4449 5932 8898 11864 13347 13477 17796 23728 26694 26954 35592 40431 47456 53388 53908 71184 80862 94912 106776 107816 121293 142368 161724 189824 213552 215632 242586 284736 323448 427104 431264 485172 569472 646896 854208 862528 970344 1293792 1708416 1725056 1940688 2587584 3881376 5175168 7762752 15525504 19986391 39972782 59959173 79945564 119918346 159891128 179877519 239836692 319782256 359755038 479673384 639564512 719510076 959346768 1279129024 1439020152 1918693536 2558258048 2878040304 3837387072 5756080608 7674774144 11512161216 23024322432