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24232423424 = 212111721861
BaseRepresentation
bin10110100100010111…
…010111000000000000
32022112210120122200212
4112210113113000000
5344112000022144
615044320533252
71515334125536
oct264427270000
968483518625
1024232423424
11a305631420
124843481228
1323924c66b1
14125c45c156
1596c60249e
hex5a45d7000

24232423424 has 156 divisors (see below), whose sum is σ = 56187049128. Its totient is φ = 10361241600.

The previous prime is 24232423417. The next prime is 24232423459. The reversal of 24232423424 is 42432423242.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13020254 + ... + 13022114.

Almost surely, 224232423424 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 24232423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28093524564).

24232423424 is an abundant number, since it is smaller than the sum of its proper divisors (31954625704).

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

24232423424 is a wasteful number, since it uses less digits than its factorization.

24232423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1891 counting only the distinct ones).

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

Adding to 24232423424 its reverse (42432423242), we get a palindrome (66664846666).

The spelling of 24232423424 in words is "twenty-four billion, two hundred thirty-two million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 289 352 374 512 544 578 704 748 1024 1088 1156 1408 1496 1861 2048 2176 2312 2816 2992 3179 3722 4096 4352 4624 5632 5984 6358 7444 8704 9248 11264 11968 12716 14888 17408 18496 20471 22528 23936 25432 29776 31637 34816 36992 40942 45056 47872 50864 59552 63274 69632 73984 81884 95744 101728 119104 126548 147968 163768 191488 203456 238208 253096 295936 327536 348007 382976 406912 476416 506192 537829 591872 655072 696014 765952 813824 952832 1012384 1075658 1183744 1310144 1392028 1627648 1905664 2024768 2151316 2620288 2784056 3255296 3811328 4049536 4302632 5240576 5568112 5916119 6510592 7622656 8099072 8605264 10481152 11136224 11832238 13021184 16198144 17210528 20962304 22272448 23664476 32396288 34421056 41924608 44544896 47328952 64792576 68842112 83849216 89089792 94657904 129585152 137684224 178179584 189315808 275368448 356359168 378631616 550736896 712718336 757263232 1101473792 1425436672 1514526464 2202947584 3029052928 6058105856 12116211712 24232423424