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24268403424 = 25319910091259
BaseRepresentation
bin10110100110100000…
…100111001011100000
32022122022021121222110
4112212200213023200
5344200202402144
615052044035320
71516252011516
oct264640471340
968568247873
1024268403424
11a323976761
124853532b40
132399ab3535
1412631464b6
1597085d0b9
hex5a68272e0

24268403424 has 96 divisors (see below), whose sum is σ = 64139040000. Its totient is φ = 8034453504.

The previous prime is 24268403417. The next prime is 24268403441. The reversal of 24268403424 is 42430486242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19275307 + ... + 19276565.

It is an arithmetic number, because the mean of its divisors is an integer number (668115000).

Almost surely, 224268403424 is an apocalyptic number.

24268403424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24268403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32069520000).

24268403424 is an abundant number, since it is smaller than the sum of its proper divisors (39870636576).

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

24268403424 is a wasteful number, since it uses less digits than its factorization.

24268403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 24268403424 its reverse (42430486242), we get a palindrome (66698889666).

The spelling of 24268403424 in words is "twenty-four billion, two hundred sixty-eight million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1009 1194 1259 1592 2018 2388 2518 3027 3184 3777 4036 4776 5036 6054 6368 7554 8072 9552 10072 12108 15108 16144 19104 20144 24216 30216 32288 40288 48432 60432 96864 120864 200791 250541 401582 501082 602373 751623 803164 1002164 1204746 1270331 1503246 1606328 2004328 2409492 2540662 3006492 3212656 3810993 4008656 4818984 5081324 6012984 6425312 7621986 8017312 9637968 10162648 12025968 15243972 19275936 20325296 24051936 30487944 40650592 60975888 121951776 252795869 505591738 758387607 1011183476 1516775214 2022366952 3033550428 4044733904 6067100856 8089467808 12134201712 24268403424