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24330820096 = 291111338231
BaseRepresentation
bin10110101010001110…
…101101101000000000
32022210122201201120001
4112222032231220000
5344312142220341
615102153525344
71520640362362
oct265216555000
968718651501
1024330820096
11a356128290
124870413854
1323a99c848b
14126b552d32
1597608bd31
hex5aa3ada00

24330820096 has 80 divisors (see below), whose sum is σ = 53504307648. Its totient is φ = 10961305600.

The previous prime is 24330820093. The next prime is 24330820153. The reversal of 24330820096 is 69002803342.

It is not an unprimeable number, because it can be changed into a prime (24330820091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617301 + ... + 655531.

Almost surely, 224330820096 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 24330820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26752153824).

24330820096 is an abundant number, since it is smaller than the sum of its proper divisors (29173487552).

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

24330820096 is a wasteful number, since it uses less digits than its factorization.

24330820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38373 (or 38357 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 24330820096 in words is "twenty-four billion, three hundred thirty million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 512 704 904 1243 1408 1808 2486 2816 3616 4972 5632 7232 9944 14464 19888 28928 38231 39776 57856 76462 79552 152924 159104 305848 318208 420541 611696 636416 841082 1223392 1682164 2446784 3364328 4320103 4893568 6728656 8640206 9787136 13457312 17280412 19574272 26914624 34560824 47521133 53829248 69121648 95042266 107658496 138243296 190084532 215316992 276486592 380169064 552973184 760338128 1105946368 1520676256 2211892736 3041352512 6082705024 12165410048 24330820096