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24393690216 = 2333728975569
BaseRepresentation
bin10110101101111110…
…100010110001101000
32022222001000212011000
4112231332202301220
5344424241041331
615112321235000
71522332642240
oct265576426150
968861025130
1024393690216
11a388669565
124889492a60
1323b9a3b92c
141275a3ab20
1597b85a0e6
hex5adfa2c68

24393690216 has 128 divisors (see below), whose sum is σ = 77480928000. Its totient is φ = 6965968896.

The previous prime is 24393690187. The next prime is 24393690247. The reversal of 24393690216 is 61209639342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377480 + ... + 4383048.

It is an arithmetic number, because the mean of its divisors is an integer number (605319750).

Almost surely, 224393690216 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 24393690216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38740464000).

24393690216 is an abundant number, since it is smaller than the sum of its proper divisors (53087237784).

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

24393690216 is a wasteful number, since it uses less digits than its factorization.

24393690216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 24393690216 in words is "twenty-four billion, three hundred ninety-three million, six hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2897 5569 5794 8691 11138 11588 16707 17382 20279 22276 23176 26073 33414 34764 38983 40558 44552 50121 52146 60837 66828 69528 77966 78219 81116 100242 104292 116949 121674 133656 150363 155932 156438 162232 182511 200484 208584 233898 243348 300726 311864 312876 350847 365022 400968 467796 486696 547533 601452 625752 701694 730044 935592 1052541 1095066 1202904 1403388 1460088 2105082 2190132 2806776 4210164 4380264 8420328 16133393 32266786 48400179 64533572 96800358 112933751 129067144 145200537 193600716 225867502 290401074 338801253 387201432 435601611 451735004 580802148 677602506 871203222 903470008 1016403759 1161604296 1355205012 1742406444 2032807518 2710410024 3049211277 3484812888 4065615036 6098422554 8131230072 12196845108 24393690216