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20230024512 = 263419412731
BaseRepresentation
bin10010110101110011…
…011010110101000000
31221012212100201120010
4102311303122311000
5312412341241022
613143223344520
71314214241205
oct226563326500
957185321503
1020230024512
118641359925
123b06bb2140
131ba5245109
14d9ca81cac
157d605650c
hex4b5cdad40

20230024512 has 112 divisors (see below), whose sum is σ = 54909134784. Its totient is φ = 6569472000.

The previous prime is 20230024501. The next prime is 20230024513. The reversal of 20230024512 is 21542003202.

It is a super-2 number, since 2×202300245122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20230024513) 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 15 ways as a sum of consecutive naturals, for example, 7406187 + ... + 7408917.

It is an arithmetic number, because the mean of its divisors is an integer number (490260132).

Almost surely, 220230024512 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 20230024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27454567392).

20230024512 is an abundant number, since it is smaller than the sum of its proper divisors (34679110272).

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

20230024512 is a wasteful number, since it uses less digits than its factorization.

20230024512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 20230024512 its reverse (21542003202), we get a palindrome (41772027714).

The spelling of 20230024512 in words is "twenty billion, two hundred thirty million, twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 941 984 1312 1882 1968 2624 2731 2823 3764 3936 5462 5646 7528 7872 8193 10924 11292 15056 16386 21848 22584 30112 32772 38581 43696 45168 60224 65544 77162 87392 90336 111971 115743 131088 154324 174784 180672 223942 231486 262176 308648 335913 447884 462972 524352 617296 671826 895768 925944 1234592 1343652 1791536 1851888 2469184 2569871 2687304 3583072 3703776 5139742 5374608 7166144 7407552 7709613 10279484 10749216 15419226 20558968 21498432 30838452 41117936 61676904 82235872 105364711 123353808 164471744 210729422 246707616 316094133 421458844 493415232 632188266 842917688 1264376532 1685835376 2528753064 3371670752 5057506128 6743341504 10115012256 20230024512