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23424242432 = 28437272927
BaseRepresentation
bin10101110100001100…
…011001001100000000
32020110110211210210112
4111310030121030000
5340433101224212
614432210450452
71456321526663
oct256414311400
966413753715
1023424242432
119a30413048
124658893a28
132293c3aba6
1411c2da36da
159216b1422
hex574319300

23424242432 has 72 divisors (see below), whose sum is σ = 47926534656. Its totient is φ = 11420107776.

The previous prime is 23424242423. The next prime is 23424242477.

23424242432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8001353 + ... + 8004279.

Almost surely, 223424242432 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 23424242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23963267328).

23424242432 is an abundant number, since it is smaller than the sum of its proper divisors (24502292224).

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

23424242432 is an equidigital number, since it uses as much as digits as its factorization.

23424242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3699 counting only the distinct ones).

The product of its digits is 73728, while the sum is 32.

The spelling of 23424242432 in words is "twenty-three billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 727 1376 1454 2752 2908 2927 5504 5816 5854 11008 11632 11708 23264 23416 31261 46528 46832 62522 93056 93664 125044 125861 186112 187328 250088 251722 374656 500176 503444 749312 1000352 1006888 2000704 2013776 2127929 4001408 4027552 4255858 8002816 8055104 8511716 16110208 17023432 32220416 34046864 68093728 91500947 136187456 183001894 272374912 366003788 544749824 732007576 1464015152 2928030304 5856060608 11712121216 23424242432